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Finding the Fourth Proportional to 31,531.56, 47,297.52 and 9,345.14

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Solution

The fourth proportional to 31,531.56, 47,297.52 and 9,345.14 is: 14,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.56 : 47,297.52 = 9,345.14 : x
  2. Step 2: Convert to fraction form
    31,531.56/47,297.52 = 9,345.14/x
  3. Step 3: Cross multiply
    31,531.56x = 47,297.52 × 9,345.14
  4. Step 4: Simplify right side
    31,531.56x = 442,001,946.05
  5. Step 5: Solve for x
    x = 442,001,946.05/31,531.56
  6. Step 6: Final answer
    x = 14,017.76

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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.