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Finding the Fourth Proportional to 38,295.28, 52,821.52 and 24,842.50

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Solution

The fourth proportional to 38,295.28, 52,821.52 and 24,842.50 is: 34,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295.28 : 52,821.52 = 24,842.50 : x
  2. Step 2: Convert to fraction form
    38,295.28/52,821.52 = 24,842.50/x
  3. Step 3: Cross multiply
    38,295.28x = 52,821.52 × 24,842.50
  4. Step 4: Simplify right side
    38,295.28x = 1,312,218,416.44
  5. Step 5: Solve for x
    x = 1,312,218,416.44/38,295.28
  6. Step 6: Final answer
    x = 34,265.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.