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Finding the Fourth Proportional to 83,841.45, 115,700.64 and 47,549.80

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Solution

The fourth proportional to 83,841.45, 115,700.64 and 47,549.80 is: 65,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841.45 : 115,700.64 = 47,549.80 : x
  2. Step 2: Convert to fraction form
    83,841.45/115,700.64 = 47,549.80/x
  3. Step 3: Cross multiply
    83,841.45x = 115,700.64 × 47,549.80
  4. Step 4: Simplify right side
    83,841.45x = 5,501,542,291.87
  5. Step 5: Solve for x
    x = 5,501,542,291.87/83,841.45
  6. Step 6: Final answer
    x = 65,618.41

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1.5x scale

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.