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Finding the Fourth Proportional to 89,184.41, 123,057.12 and 52,879.13

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Solution

The fourth proportional to 89,184.41, 123,057.12 and 52,879.13 is: 72,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,184.41 : 123,057.12 = 52,879.13 : x
  2. Step 2: Convert to fraction form
    89,184.41/123,057.12 = 52,879.13/x
  3. Step 3: Cross multiply
    89,184.41x = 123,057.12 × 52,879.13
  4. Step 4: Simplify right side
    89,184.41x = 6,507,153,490.38
  5. Step 5: Solve for x
    x = 6,507,153,490.38/89,184.41
  6. Step 6: Final answer
    x = 72,962.90

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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.