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Finding the Fourth Proportional to 31,778, 47,651.52 and 9,587.20

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Solution

The fourth proportional to 31,778, 47,651.52 and 9,587.20 is: 14,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778 : 47,651.52 = 9,587.20 : x
  2. Step 2: Convert to fraction form
    31,778/47,651.52 = 9,587.20/x
  3. Step 3: Cross multiply
    31,778x = 47,651.52 × 9,587.20
  4. Step 4: Simplify right side
    31,778x = 456,844,652.54
  5. Step 5: Solve for x
    x = 456,844,652.54/31,778
  6. Step 6: Final answer
    x = 14,376.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.