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Finding the Fourth Proportional to 90,102, 135,153.48 and 24,438

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Solution

The fourth proportional to 90,102, 135,153.48 and 24,438 is: 36,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,102 : 135,153.48 = 24,438 : x
  2. Step 2: Convert to fraction form
    90,102/135,153.48 = 24,438/x
  3. Step 3: Cross multiply
    90,102x = 135,153.48 × 24,438
  4. Step 4: Simplify right side
    90,102x = 3,302,880,744.24
  5. Step 5: Solve for x
    x = 3,302,880,744.24/90,102
  6. Step 6: Final answer
    x = 36,657.13

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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.