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Finding the Fourth Proportional to 56,780.32, 78,339.49 and 32,902.38

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Solution

The fourth proportional to 56,780.32, 78,339.49 and 32,902.38 is: 45,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,780.32 : 78,339.49 = 32,902.38 : x
  2. Step 2: Convert to fraction form
    56,780.32/78,339.49 = 32,902.38/x
  3. Step 3: Cross multiply
    56,780.32x = 78,339.49 × 32,902.38
  4. Step 4: Simplify right side
    56,780.32x = 2,577,555,668.99
  5. Step 5: Solve for x
    x = 2,577,555,668.99/56,780.32
  6. Step 6: Final answer
    x = 45,395.23

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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.