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Finding the Fourth Proportional to 31,714.50, 47,569.92 and 9,527.40

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Solution

The fourth proportional to 31,714.50, 47,569.92 and 9,527.40 is: 14,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.50 : 47,569.92 = 9,527.40 : x
  2. Step 2: Convert to fraction form
    31,714.50/47,569.92 = 9,527.40/x
  3. Step 3: Cross multiply
    31,714.50x = 47,569.92 × 9,527.40
  4. Step 4: Simplify right side
    31,714.50x = 453,217,655.81
  5. Step 5: Solve for x
    x = 453,217,655.81/31,714.50
  6. Step 6: Final answer
    x = 14,290.55

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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.