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Finding the Fourth Proportional to 38,502.18, 53,113.23 and 22,575.96

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Solution

The fourth proportional to 38,502.18, 53,113.23 and 22,575.96 is: 31,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.18 : 53,113.23 = 22,575.96 : x
  2. Step 2: Convert to fraction form
    38,502.18/53,113.23 = 22,575.96/x
  3. Step 3: Cross multiply
    38,502.18x = 53,113.23 × 22,575.96
  4. Step 4: Simplify right side
    38,502.18x = 1,199,082,155.95
  5. Step 5: Solve for x
    x = 1,199,082,155.95/38,502.18
  6. Step 6: Final answer
    x = 31,143.23

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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.