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Finding the Fourth Proportional to 31,524.66, 47,278.08 and 9,332.82

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Solution

The fourth proportional to 31,524.66, 47,278.08 and 9,332.82 is: 13,996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.66 : 47,278.08 = 9,332.82 : x
  2. Step 2: Convert to fraction form
    31,524.66/47,278.08 = 9,332.82/x
  3. Step 3: Cross multiply
    31,524.66x = 47,278.08 × 9,332.82
  4. Step 4: Simplify right side
    31,524.66x = 441,237,810.59
  5. Step 5: Solve for x
    x = 441,237,810.59/31,524.66
  6. Step 6: Final answer
    x = 13,996.59

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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.