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Finding the Fourth Proportional to 83,288.70, 114,937.38 and 47,477.52

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Solution

The fourth proportional to 83,288.70, 114,937.38 and 47,477.52 is: 65,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,288.70 : 114,937.38 = 47,477.52 : x
  2. Step 2: Convert to fraction form
    83,288.70/114,937.38 = 47,477.52/x
  3. Step 3: Cross multiply
    83,288.70x = 114,937.38 × 47,477.52
  4. Step 4: Simplify right side
    83,288.70x = 5,456,941,757.70
  5. Step 5: Solve for x
    x = 5,456,941,757.70/83,288.70
  6. Step 6: Final answer
    x = 65,518.39

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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.