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Finding the Fourth Proportional to 32,179.74, 48,287.74 and 25,140.02

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Solution

The fourth proportional to 32,179.74, 48,287.74 and 25,140.02 is: 37,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179.74 : 48,287.74 = 25,140.02 : x
  2. Step 2: Convert to fraction form
    32,179.74/48,287.74 = 25,140.02/x
  3. Step 3: Cross multiply
    32,179.74x = 48,287.74 × 25,140.02
  4. Step 4: Simplify right side
    32,179.74x = 1,213,954,749.35
  5. Step 5: Solve for x
    x = 1,213,954,749.35/32,179.74
  6. Step 6: Final answer
    x = 37,724.19

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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.