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Finding the Fourth Proportional to 53,693.50, 74,098.02 and 29,822.40

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Solution

The fourth proportional to 53,693.50, 74,098.02 and 29,822.40 is: 41,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,693.50 : 74,098.02 = 29,822.40 : x
  2. Step 2: Convert to fraction form
    53,693.50/74,098.02 = 29,822.40/x
  3. Step 3: Cross multiply
    53,693.50x = 74,098.02 × 29,822.40
  4. Step 4: Simplify right side
    53,693.50x = 2,209,780,791.65
  5. Step 5: Solve for x
    x = 2,209,780,791.65/53,693.50
  6. Step 6: Final answer
    x = 41,155.46

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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.