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Finding the Fourth Proportional to 83,287.48, 114,923.10 and 47,478.16

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Solution

The fourth proportional to 83,287.48, 114,923.10 and 47,478.16 is: 65,512.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.48 : 114,923.10 = 47,478.16 : x
  2. Step 2: Convert to fraction form
    83,287.48/114,923.10 = 47,478.16/x
  3. Step 3: Cross multiply
    83,287.48x = 114,923.10 × 47,478.16
  4. Step 4: Simplify right side
    83,287.48x = 5,456,337,329.50
  5. Step 5: Solve for x
    x = 5,456,337,329.50/83,287.48
  6. Step 6: Final answer
    x = 65,512.10

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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.