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Finding the Fourth Proportional to 89,931.87, 124,064.87 and 52,184.25

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Solution

The fourth proportional to 89,931.87, 124,064.87 and 52,184.25 is: 71,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,931.87 : 124,064.87 = 52,184.25 : x
  2. Step 2: Convert to fraction form
    89,931.87/124,064.87 = 52,184.25/x
  3. Step 3: Cross multiply
    89,931.87x = 124,064.87 × 52,184.25
  4. Step 4: Simplify right side
    89,931.87x = 6,474,231,931.38
  5. Step 5: Solve for x
    x = 6,474,231,931.38/89,931.87
  6. Step 6: Final answer
    x = 71,990.41

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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.