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Finding the Fourth Proportional to 83,064.68, 114,629.40 and 45,338.96

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Solution

The fourth proportional to 83,064.68, 114,629.40 and 45,338.96 is: 62,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,064.68 : 114,629.40 = 45,338.96 : x
  2. Step 2: Convert to fraction form
    83,064.68/114,629.40 = 45,338.96/x
  3. Step 3: Cross multiply
    83,064.68x = 114,629.40 × 45,338.96
  4. Step 4: Simplify right side
    83,064.68x = 5,197,177,781.42
  5. Step 5: Solve for x
    x = 5,197,177,781.42/83,064.68
  6. Step 6: Final answer
    x = 62,567.84

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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.