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Finding the Fourth Proportional to 83,344.45, 114,986.74 and 47,508.61

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Solution

The fourth proportional to 83,344.45, 114,986.74 and 47,508.61 is: 65,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,344.45 : 114,986.74 = 47,508.61 : x
  2. Step 2: Convert to fraction form
    83,344.45/114,986.74 = 47,508.61/x
  3. Step 3: Cross multiply
    83,344.45x = 114,986.74 × 47,508.61
  4. Step 4: Simplify right side
    83,344.45x = 5,462,860,185.83
  5. Step 5: Solve for x
    x = 5,462,860,185.83/83,344.45
  6. Step 6: Final answer
    x = 65,545.58

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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.