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Finding the Fourth Proportional to 90,946.84, 136,439.16 and 38,356.78

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Solution

The fourth proportional to 90,946.84, 136,439.16 and 38,356.78 is: 57,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,946.84 : 136,439.16 = 38,356.78 : x
  2. Step 2: Convert to fraction form
    90,946.84/136,439.16 = 38,356.78/x
  3. Step 3: Cross multiply
    90,946.84x = 136,439.16 × 38,356.78
  4. Step 4: Simplify right side
    90,946.84x = 5,233,366,843.50
  5. Step 5: Solve for x
    x = 5,233,366,843.50/90,946.84
  6. Step 6: Final answer
    x = 57,543.14

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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.