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Finding the Fourth Proportional to 53,002.50, 73,141.94 and 29,129.14

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Solution

The fourth proportional to 53,002.50, 73,141.94 and 29,129.14 is: 40,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,002.50 : 73,141.94 = 29,129.14 : x
  2. Step 2: Convert to fraction form
    53,002.50/73,141.94 = 29,129.14/x
  3. Step 3: Cross multiply
    53,002.50x = 73,141.94 × 29,129.14
  4. Step 4: Simplify right side
    53,002.50x = 2,130,561,810.13
  5. Step 5: Solve for x
    x = 2,130,561,810.13/53,002.50
  6. Step 6: Final answer
    x = 40,197.38

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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.