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Finding the Fourth Proportional to 91,443.84, 137,395.80 and 58,178.76

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Solution

The fourth proportional to 91,443.84, 137,395.80 and 58,178.76 is: 87,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,443.84 : 137,395.80 = 58,178.76 : x
  2. Step 2: Convert to fraction form
    91,443.84/137,395.80 = 58,178.76/x
  3. Step 3: Cross multiply
    91,443.84x = 137,395.80 × 58,178.76
  4. Step 4: Simplify right side
    91,443.84x = 7,993,517,273.21
  5. Step 5: Solve for x
    x = 7,993,517,273.21/91,443.84
  6. Step 6: Final answer
    x = 87,414.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.