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Finding the Fourth Proportional to 129,243.32, 193,874.24 and 34,473

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Solution

The fourth proportional to 129,243.32, 193,874.24 and 34,473 is: 51,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,243.32 : 193,874.24 = 34,473 : x
  2. Step 2: Convert to fraction form
    129,243.32/193,874.24 = 34,473/x
  3. Step 3: Cross multiply
    129,243.32x = 193,874.24 × 34,473
  4. Step 4: Simplify right side
    129,243.32x = 6,683,426,675.52
  5. Step 5: Solve for x
    x = 6,683,426,675.52/129,243.32
  6. Step 6: Final answer
    x = 51,711.97

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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.