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Finding the Fourth Proportional to 80,301.26, 110,854.26 and 56,448.38

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Solution

The fourth proportional to 80,301.26, 110,854.26 and 56,448.38 is: 77,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301.26 : 110,854.26 = 56,448.38 : x
  2. Step 2: Convert to fraction form
    80,301.26/110,854.26 = 56,448.38/x
  3. Step 3: Cross multiply
    80,301.26x = 110,854.26 × 56,448.38
  4. Step 4: Simplify right side
    80,301.26x = 6,257,543,393.10
  5. Step 5: Solve for x
    x = 6,257,543,393.10/80,301.26
  6. Step 6: Final answer
    x = 77,925.84

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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.