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Finding the Fourth Proportional to 76,841.52, 106,041.28 and 43,307.52

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Solution

The fourth proportional to 76,841.52, 106,041.28 and 43,307.52 is: 59,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.52 : 106,041.28 = 43,307.52 : x
  2. Step 2: Convert to fraction form
    76,841.52/106,041.28 = 43,307.52/x
  3. Step 3: Cross multiply
    76,841.52x = 106,041.28 × 43,307.52
  4. Step 4: Simplify right side
    76,841.52x = 4,592,384,854.43
  5. Step 5: Solve for x
    x = 4,592,384,854.43/76,841.52
  6. Step 6: Final answer
    x = 59,764.37

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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.