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Finding the Fourth Proportional to 38,432.71, 53,034.86 and 22,298.77

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Solution

The fourth proportional to 38,432.71, 53,034.86 and 22,298.77 is: 30,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432.71 : 53,034.86 = 22,298.77 : x
  2. Step 2: Convert to fraction form
    38,432.71/53,034.86 = 22,298.77/x
  3. Step 3: Cross multiply
    38,432.71x = 53,034.86 × 22,298.77
  4. Step 4: Simplify right side
    38,432.71x = 1,182,612,216.69
  5. Step 5: Solve for x
    x = 1,182,612,216.69/38,432.71
  6. Step 6: Final answer
    x = 30,770.98

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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.