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Finding the Fourth Proportional to 59,907.20, 82,645.56 and 36,020

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Solution

The fourth proportional to 59,907.20, 82,645.56 and 36,020 is: 49,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,907.20 : 82,645.56 = 36,020 : x
  2. Step 2: Convert to fraction form
    59,907.20/82,645.56 = 36,020/x
  3. Step 3: Cross multiply
    59,907.20x = 82,645.56 × 36,020
  4. Step 4: Simplify right side
    59,907.20x = 2,976,893,071.20
  5. Step 5: Solve for x
    x = 2,976,893,071.20/59,907.20
  6. Step 6: Final answer
    x = 49,691.74

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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.