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Finding the Fourth Proportional to 31,714.84, 47,572.12 and 9,528.12

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Solution

The fourth proportional to 31,714.84, 47,572.12 and 9,528.12 is: 14,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.84 : 47,572.12 = 9,528.12 : x
  2. Step 2: Convert to fraction form
    31,714.84/47,572.12 = 9,528.12/x
  3. Step 3: Cross multiply
    31,714.84x = 47,572.12 × 9,528.12
  4. Step 4: Simplify right side
    31,714.84x = 453,272,868.01
  5. Step 5: Solve for x
    x = 453,272,868.01/31,714.84
  6. Step 6: Final answer
    x = 14,292.14

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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.