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Finding the Fourth Proportional to 55,882.69, 77,116.57 and 30,732.19

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Solution

The fourth proportional to 55,882.69, 77,116.57 and 30,732.19 is: 42,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,882.69 : 77,116.57 = 30,732.19 : x
  2. Step 2: Convert to fraction form
    55,882.69/77,116.57 = 30,732.19/x
  3. Step 3: Cross multiply
    55,882.69x = 77,116.57 × 30,732.19
  4. Step 4: Simplify right side
    55,882.69x = 2,369,960,542.14
  5. Step 5: Solve for x
    x = 2,369,960,542.14/55,882.69
  6. Step 6: Final answer
    x = 42,409.57

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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.