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Finding the Fourth Proportional to 39,624.93, 54,621.14 and 29,538

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Solution

The fourth proportional to 39,624.93, 54,621.14 and 29,538 is: 40,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,624.93 : 54,621.14 = 29,538 : x
  2. Step 2: Convert to fraction form
    39,624.93/54,621.14 = 29,538/x
  3. Step 3: Cross multiply
    39,624.93x = 54,621.14 × 29,538
  4. Step 4: Simplify right side
    39,624.93x = 1,613,399,085.63
  5. Step 5: Solve for x
    x = 1,613,399,085.63/39,624.93
  6. Step 6: Final answer
    x = 40,716.77

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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.