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Finding the Fourth Proportional to 64,144.80, 96,071.40 and 32,943.60

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Solution

The fourth proportional to 64,144.80, 96,071.40 and 32,943.60 is: 49,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,144.80 : 96,071.40 = 32,943.60 : x
  2. Step 2: Convert to fraction form
    64,144.80/96,071.40 = 32,943.60/x
  3. Step 3: Cross multiply
    64,144.80x = 96,071.40 × 32,943.60
  4. Step 4: Simplify right side
    64,144.80x = 3,164,937,773.04
  5. Step 5: Solve for x
    x = 3,164,937,773.04/64,144.80
  6. Step 6: Final answer
    x = 49,340.52

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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.