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Finding the Fourth Proportional to 78,488.38, 108,354.03 and 53,128.77

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Solution

The fourth proportional to 78,488.38, 108,354.03 and 53,128.77 is: 73,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,488.38 : 108,354.03 = 53,128.77 : x
  2. Step 2: Convert to fraction form
    78,488.38/108,354.03 = 53,128.77/x
  3. Step 3: Cross multiply
    78,488.38x = 108,354.03 × 53,128.77
  4. Step 4: Simplify right side
    78,488.38x = 5,756,716,338.44
  5. Step 5: Solve for x
    x = 5,756,716,338.44/78,488.38
  6. Step 6: Final answer
    x = 73,344.82

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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.