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Finding the Fourth Proportional to 57,899.30, 86,838.62 and 31,232.88

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Solution

The fourth proportional to 57,899.30, 86,838.62 and 31,232.88 is: 46,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,899.30 : 86,838.62 = 31,232.88 : x
  2. Step 2: Convert to fraction form
    57,899.30/86,838.62 = 31,232.88/x
  3. Step 3: Cross multiply
    57,899.30x = 86,838.62 × 31,232.88
  4. Step 4: Simplify right side
    57,899.30x = 2,712,220,041.66
  5. Step 5: Solve for x
    x = 2,712,220,041.66/57,899.30
  6. Step 6: Final answer
    x = 46,843.75

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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.