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Finding the Fourth Proportional to 74,042.31, 102,178.40 and 40,508.31

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Solution

The fourth proportional to 74,042.31, 102,178.40 and 40,508.31 is: 55,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,042.31 : 102,178.40 = 40,508.31 : x
  2. Step 2: Convert to fraction form
    74,042.31/102,178.40 = 40,508.31/x
  3. Step 3: Cross multiply
    74,042.31x = 102,178.40 × 40,508.31
  4. Step 4: Simplify right side
    74,042.31x = 4,139,074,302.50
  5. Step 5: Solve for x
    x = 4,139,074,302.50/74,042.31
  6. Step 6: Final answer
    x = 55,901.47

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