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Finding the Fourth Proportional to 89,463.64, 123,459.84 and 49,180

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Solution

The fourth proportional to 89,463.64, 123,459.84 and 49,180 is: 67,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,463.64 : 123,459.84 = 49,180 : x
  2. Step 2: Convert to fraction form
    89,463.64/123,459.84 = 49,180/x
  3. Step 3: Cross multiply
    89,463.64x = 123,459.84 × 49,180
  4. Step 4: Simplify right side
    89,463.64x = 6,071,754,931.20
  5. Step 5: Solve for x
    x = 6,071,754,931.20/89,463.64
  6. Step 6: Final answer
    x = 67,868.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.