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Finding the Fourth Proportional to 56,758.38, 78,326.56 and 31,607.88

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Solution

The fourth proportional to 56,758.38, 78,326.56 and 31,607.88 is: 43,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,758.38 : 78,326.56 = 31,607.88 : x
  2. Step 2: Convert to fraction form
    56,758.38/78,326.56 = 31,607.88/x
  3. Step 3: Cross multiply
    56,758.38x = 78,326.56 × 31,607.88
  4. Step 4: Simplify right side
    56,758.38x = 2,475,736,509.29
  5. Step 5: Solve for x
    x = 2,475,736,509.29/56,758.38
  6. Step 6: Final answer
    x = 43,618.87

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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.