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Finding the Fourth Proportional to 31,547.52, 47,332.08 and 14,029.56

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Solution

The fourth proportional to 31,547.52, 47,332.08 and 14,029.56 is: 21,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.52 : 47,332.08 = 14,029.56 : x
  2. Step 2: Convert to fraction form
    31,547.52/47,332.08 = 14,029.56/x
  3. Step 3: Cross multiply
    31,547.52x = 47,332.08 × 14,029.56
  4. Step 4: Simplify right side
    31,547.52x = 664,048,256.28
  5. Step 5: Solve for x
    x = 664,048,256.28/31,547.52
  6. Step 6: Final answer
    x = 21,049.14

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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.