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Finding the Fourth Proportional to 38,748.64, 53,474.88 and 22,833.76

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Solution

The fourth proportional to 38,748.64, 53,474.88 and 22,833.76 is: 31,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,748.64 : 53,474.88 = 22,833.76 : x
  2. Step 2: Convert to fraction form
    38,748.64/53,474.88 = 22,833.76/x
  3. Step 3: Cross multiply
    38,748.64x = 53,474.88 × 22,833.76
  4. Step 4: Simplify right side
    38,748.64x = 1,221,032,575.95
  5. Step 5: Solve for x
    x = 1,221,032,575.95/38,748.64
  6. Step 6: Final answer
    x = 31,511.62

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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.