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Finding the Fourth Proportional to 83,147.16, 114,741.34 and 46,850.48

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Solution

The fourth proportional to 83,147.16, 114,741.34 and 46,850.48 is: 64,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.16 : 114,741.34 = 46,850.48 : x
  2. Step 2: Convert to fraction form
    83,147.16/114,741.34 = 46,850.48/x
  3. Step 3: Cross multiply
    83,147.16x = 114,741.34 × 46,850.48
  4. Step 4: Simplify right side
    83,147.16x = 5,375,686,854.84
  5. Step 5: Solve for x
    x = 5,375,686,854.84/83,147.16
  6. Step 6: Final answer
    x = 64,652.68

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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.