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Finding the Fourth Proportional to 39,562.14, 54,595.53 and 21,657

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Solution

The fourth proportional to 39,562.14, 54,595.53 and 21,657 is: 29,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,562.14 : 54,595.53 = 21,657 : x
  2. Step 2: Convert to fraction form
    39,562.14/54,595.53 = 21,657/x
  3. Step 3: Cross multiply
    39,562.14x = 54,595.53 × 21,657
  4. Step 4: Simplify right side
    39,562.14x = 1,182,375,393.21
  5. Step 5: Solve for x
    x = 1,182,375,393.21/39,562.14
  6. Step 6: Final answer
    x = 29,886.54

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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.