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Finding the Fourth Proportional to 91,775.84, 137,713.90 and 35,618.16

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Solution

The fourth proportional to 91,775.84, 137,713.90 and 35,618.16 is: 53,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,775.84 : 137,713.90 = 35,618.16 : x
  2. Step 2: Convert to fraction form
    91,775.84/137,713.90 = 35,618.16/x
  3. Step 3: Cross multiply
    91,775.84x = 137,713.90 × 35,618.16
  4. Step 4: Simplify right side
    91,775.84x = 4,905,115,724.42
  5. Step 5: Solve for x
    x = 4,905,115,724.42/91,775.84
  6. Step 6: Final answer
    x = 53,446.70

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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.