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Finding the Fourth Proportional to 31,402.17, 47,098.35 and 20,386.98

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Solution

The fourth proportional to 31,402.17, 47,098.35 and 20,386.98 is: 30,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.17 : 47,098.35 = 20,386.98 : x
  2. Step 2: Convert to fraction form
    31,402.17/47,098.35 = 20,386.98/x
  3. Step 3: Cross multiply
    31,402.17x = 47,098.35 × 20,386.98
  4. Step 4: Simplify right side
    31,402.17x = 960,193,119.48
  5. Step 5: Solve for x
    x = 960,193,119.48/31,402.17
  6. Step 6: Final answer
    x = 30,577.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.