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Finding the Fourth Proportional to 38,565.48, 53,211.78 and 23,466

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Solution

The fourth proportional to 38,565.48, 53,211.78 and 23,466 is: 32,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565.48 : 53,211.78 = 23,466 : x
  2. Step 2: Convert to fraction form
    38,565.48/53,211.78 = 23,466/x
  3. Step 3: Cross multiply
    38,565.48x = 53,211.78 × 23,466
  4. Step 4: Simplify right side
    38,565.48x = 1,248,667,629.48
  5. Step 5: Solve for x
    x = 1,248,667,629.48/38,565.48
  6. Step 6: Final answer
    x = 32,377.86

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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.