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Finding the Fourth Proportional to 38,781.40, 58,172.10 and 31,005.40

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Solution

The fourth proportional to 38,781.40, 58,172.10 and 31,005.40 is: 46,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.40 : 58,172.10 = 31,005.40 : x
  2. Step 2: Convert to fraction form
    38,781.40/58,172.10 = 31,005.40/x
  3. Step 3: Cross multiply
    38,781.40x = 58,172.10 × 31,005.40
  4. Step 4: Simplify right side
    38,781.40x = 1,803,649,229.34
  5. Step 5: Solve for x
    x = 1,803,649,229.34/38,781.40
  6. Step 6: Final answer
    x = 46,508.10

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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.