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Finding the Fourth Proportional to 31,398.48, 47,097.06 and 9,211.35

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Solution

The fourth proportional to 31,398.48, 47,097.06 and 9,211.35 is: 13,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398.48 : 47,097.06 = 9,211.35 : x
  2. Step 2: Convert to fraction form
    31,398.48/47,097.06 = 9,211.35/x
  3. Step 3: Cross multiply
    31,398.48x = 47,097.06 × 9,211.35
  4. Step 4: Simplify right side
    31,398.48x = 433,827,503.63
  5. Step 5: Solve for x
    x = 433,827,503.63/31,398.48
  6. Step 6: Final answer
    x = 13,816.83

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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.