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Finding the Fourth Proportional to 38,302.86, 52,842.87 and 28,255.50

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Solution

The fourth proportional to 38,302.86, 52,842.87 and 28,255.50 is: 38,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.86 : 52,842.87 = 28,255.50 : x
  2. Step 2: Convert to fraction form
    38,302.86/52,842.87 = 28,255.50/x
  3. Step 3: Cross multiply
    38,302.86x = 52,842.87 × 28,255.50
  4. Step 4: Simplify right side
    38,302.86x = 1,493,101,713.29
  5. Step 5: Solve for x
    x = 1,493,101,713.29/38,302.86
  6. Step 6: Final answer
    x = 38,981.47

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