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Finding the Fourth Proportional to 59,768, 82,452.14 and 38,554.10

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Solution

The fourth proportional to 59,768, 82,452.14 and 38,554.10 is: 53,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,768 : 82,452.14 = 38,554.10 : x
  2. Step 2: Convert to fraction form
    59,768/82,452.14 = 38,554.10/x
  3. Step 3: Cross multiply
    59,768x = 82,452.14 × 38,554.10
  4. Step 4: Simplify right side
    59,768x = 3,178,868,050.77
  5. Step 5: Solve for x
    x = 3,178,868,050.77/59,768
  6. Step 6: Final answer
    x = 53,186.79

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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.