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Finding the Fourth Proportional to 38,470.50, 57,715.98 and 16,284.81

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Solution

The fourth proportional to 38,470.50, 57,715.98 and 16,284.81 is: 24,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.50 : 57,715.98 = 16,284.81 : x
  2. Step 2: Convert to fraction form
    38,470.50/57,715.98 = 16,284.81/x
  3. Step 3: Cross multiply
    38,470.50x = 57,715.98 × 16,284.81
  4. Step 4: Simplify right side
    38,470.50x = 939,893,768.26
  5. Step 5: Solve for x
    x = 939,893,768.26/38,470.50
  6. Step 6: Final answer
    x = 24,431.55

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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.