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Finding the Fourth Proportional to 34,976.50, 52,470.54 and 13,916.74

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Solution

The fourth proportional to 34,976.50, 52,470.54 and 13,916.74 is: 20,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,976.50 : 52,470.54 = 13,916.74 : x
  2. Step 2: Convert to fraction form
    34,976.50/52,470.54 = 13,916.74/x
  3. Step 3: Cross multiply
    34,976.50x = 52,470.54 × 13,916.74
  4. Step 4: Simplify right side
    34,976.50x = 730,218,862.84
  5. Step 5: Solve for x
    x = 730,218,862.84/34,976.50
  6. Step 6: Final answer
    x = 20,877.41

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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.