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Finding the Fourth Proportional to 32,802,282.40, 49,203,423.60 and 15,758,845.60

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Solution

The fourth proportional to 32,802,282.40, 49,203,423.60 and 15,758,845.60 is: 23,638,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802,282.40 : 49,203,423.60 = 15,758,845.60 : x
  2. Step 2: Convert to fraction form
    32,802,282.40/49,203,423.60 = 15,758,845.60/x
  3. Step 3: Cross multiply
    32,802,282.40x = 49,203,423.60 × 15,758,845.60
  4. Step 4: Simplify right side
    32,802,282.40x = 775,389,155,503,796.12
  5. Step 5: Solve for x
    x = 775,389,155,503,796.12/32,802,282.40
  6. Step 6: Final answer
    x = 23,638,268.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.