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Finding the Fourth Proportional to 31,772.32, 47,658.80 and 9,585.88

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Solution

The fourth proportional to 31,772.32, 47,658.80 and 9,585.88 is: 14,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.32 : 47,658.80 = 9,585.88 : x
  2. Step 2: Convert to fraction form
    31,772.32/47,658.80 = 9,585.88/x
  3. Step 3: Cross multiply
    31,772.32x = 47,658.80 × 9,585.88
  4. Step 4: Simplify right side
    31,772.32x = 456,851,537.74
  5. Step 5: Solve for x
    x = 456,851,537.74/31,772.32
  6. Step 6: Final answer
    x = 14,378.92

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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.