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Finding the Fourth Proportional to 56,982.38, 78,632.22 and 31,488.16

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Solution

The fourth proportional to 56,982.38, 78,632.22 and 31,488.16 is: 43,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,982.38 : 78,632.22 = 31,488.16 : x
  2. Step 2: Convert to fraction form
    56,982.38/78,632.22 = 31,488.16/x
  3. Step 3: Cross multiply
    56,982.38x = 78,632.22 × 31,488.16
  4. Step 4: Simplify right side
    56,982.38x = 2,475,983,924.52
  5. Step 5: Solve for x
    x = 2,475,983,924.52/56,982.38
  6. Step 6: Final answer
    x = 43,451.75

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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.