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Finding the Fourth Proportional to 57,805.64, 86,726.16 and 51,844.85

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Solution

The fourth proportional to 57,805.64, 86,726.16 and 51,844.85 is: 77,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.64 : 86,726.16 = 51,844.85 : x
  2. Step 2: Convert to fraction form
    57,805.64/86,726.16 = 51,844.85/x
  3. Step 3: Cross multiply
    57,805.64x = 86,726.16 × 51,844.85
  4. Step 4: Simplify right side
    57,805.64x = 4,496,304,322.65
  5. Step 5: Solve for x
    x = 4,496,304,322.65/57,805.64
  6. Step 6: Final answer
    x = 77,783.15

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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.