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Finding the Fourth Proportional to 74,040.72, 102,177 and 40,506

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Solution

The fourth proportional to 74,040.72, 102,177 and 40,506 is: 55,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,040.72 : 102,177 = 40,506 : x
  2. Step 2: Convert to fraction form
    74,040.72/102,177 = 40,506/x
  3. Step 3: Cross multiply
    74,040.72x = 102,177 × 40,506
  4. Step 4: Simplify right side
    74,040.72x = 4,138,781,562
  5. Step 5: Solve for x
    x = 4,138,781,562/74,040.72
  6. Step 6: Final answer
    x = 55,898.72

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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.