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Finding the Fourth Proportional to 31,503.96, 47,257.62 and 12,781.20

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Solution

The fourth proportional to 31,503.96, 47,257.62 and 12,781.20 is: 19,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.96 : 47,257.62 = 12,781.20 : x
  2. Step 2: Convert to fraction form
    31,503.96/47,257.62 = 12,781.20/x
  3. Step 3: Cross multiply
    31,503.96x = 47,257.62 × 12,781.20
  4. Step 4: Simplify right side
    31,503.96x = 604,009,092.74
  5. Step 5: Solve for x
    x = 604,009,092.74/31,503.96
  6. Step 6: Final answer
    x = 19,172.48

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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.