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Finding the Fourth Proportional to 90,306.50, 135,459.75 and 24,642.50

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Solution

The fourth proportional to 90,306.50, 135,459.75 and 24,642.50 is: 36,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,306.50 : 135,459.75 = 24,642.50 : x
  2. Step 2: Convert to fraction form
    90,306.50/135,459.75 = 24,642.50/x
  3. Step 3: Cross multiply
    90,306.50x = 135,459.75 × 24,642.50
  4. Step 4: Simplify right side
    90,306.50x = 3,338,066,889.38
  5. Step 5: Solve for x
    x = 3,338,066,889.38/90,306.50
  6. Step 6: Final answer
    x = 36,963.75

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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.