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Finding the Fourth Proportional to 91,546.50, 137,320.59 and 36,142.50

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Solution

The fourth proportional to 91,546.50, 137,320.59 and 36,142.50 is: 54,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,546.50 : 137,320.59 = 36,142.50 : x
  2. Step 2: Convert to fraction form
    91,546.50/137,320.59 = 36,142.50/x
  3. Step 3: Cross multiply
    91,546.50x = 137,320.59 × 36,142.50
  4. Step 4: Simplify right side
    91,546.50x = 4,963,109,424.08
  5. Step 5: Solve for x
    x = 4,963,109,424.08/91,546.50
  6. Step 6: Final answer
    x = 54,214.08

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