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Finding the Fourth Proportional to 74,131, 102,301.14 and 40,597

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Solution

The fourth proportional to 74,131, 102,301.14 and 40,597 is: 56,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,131 : 102,301.14 = 40,597 : x
  2. Step 2: Convert to fraction form
    74,131/102,301.14 = 40,597/x
  3. Step 3: Cross multiply
    74,131x = 102,301.14 × 40,597
  4. Step 4: Simplify right side
    74,131x = 4,153,119,380.58
  5. Step 5: Solve for x
    x = 4,153,119,380.58/74,131
  6. Step 6: Final answer
    x = 56,024.06

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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.