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Finding the Fourth Proportional to 31,580.68, 47,373.54 and 18,434.38

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Solution

The fourth proportional to 31,580.68, 47,373.54 and 18,434.38 is: 27,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.68 : 47,373.54 = 18,434.38 : x
  2. Step 2: Convert to fraction form
    31,580.68/47,373.54 = 18,434.38/x
  3. Step 3: Cross multiply
    31,580.68x = 47,373.54 × 18,434.38
  4. Step 4: Simplify right side
    31,580.68x = 873,301,838.31
  5. Step 5: Solve for x
    x = 873,301,838.31/31,580.68
  6. Step 6: Final answer
    x = 27,653.04

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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.