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Finding the Fourth Proportional to 31,420.90, 47,124.06 and 13,881.16

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Solution

The fourth proportional to 31,420.90, 47,124.06 and 13,881.16 is: 20,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.90 : 47,124.06 = 13,881.16 : x
  2. Step 2: Convert to fraction form
    31,420.90/47,124.06 = 13,881.16/x
  3. Step 3: Cross multiply
    31,420.90x = 47,124.06 × 13,881.16
  4. Step 4: Simplify right side
    31,420.90x = 654,136,616.71
  5. Step 5: Solve for x
    x = 654,136,616.71/31,420.90
  6. Step 6: Final answer
    x = 20,818.52

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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.