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Finding the Fourth Proportional to 34,780.50, 52,170.75 and 16,312.50

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Solution

The fourth proportional to 34,780.50, 52,170.75 and 16,312.50 is: 24,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.50 : 52,170.75 = 16,312.50 : x
  2. Step 2: Convert to fraction form
    34,780.50/52,170.75 = 16,312.50/x
  3. Step 3: Cross multiply
    34,780.50x = 52,170.75 × 16,312.50
  4. Step 4: Simplify right side
    34,780.50x = 851,035,359.38
  5. Step 5: Solve for x
    x = 851,035,359.38/34,780.50
  6. Step 6: Final answer
    x = 24,468.75

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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.