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Finding the Fourth Proportional to 54,792, 75,613.05 and 29,641.50

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Solution

The fourth proportional to 54,792, 75,613.05 and 29,641.50 is: 40,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,792 : 75,613.05 = 29,641.50 : x
  2. Step 2: Convert to fraction form
    54,792/75,613.05 = 29,641.50/x
  3. Step 3: Cross multiply
    54,792x = 75,613.05 × 29,641.50
  4. Step 4: Simplify right side
    54,792x = 2,241,284,221.58
  5. Step 5: Solve for x
    x = 2,241,284,221.58/54,792
  6. Step 6: Final answer
    x = 40,905.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.