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Finding the Fourth Proportional to 31,548.13, 47,332.05 and 9,361.62

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Solution

The fourth proportional to 31,548.13, 47,332.05 and 9,361.62 is: 14,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.13 : 47,332.05 = 9,361.62 : x
  2. Step 2: Convert to fraction form
    31,548.13/47,332.05 = 9,361.62/x
  3. Step 3: Cross multiply
    31,548.13x = 47,332.05 × 9,361.62
  4. Step 4: Simplify right side
    31,548.13x = 443,104,665.92
  5. Step 5: Solve for x
    x = 443,104,665.92/31,548.13
  6. Step 6: Final answer
    x = 14,045.35

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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.