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Finding the Fourth Proportional to 83,171.25, 114,779.16 and 45,447.93

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Solution

The fourth proportional to 83,171.25, 114,779.16 and 45,447.93 is: 62,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,171.25 : 114,779.16 = 45,447.93 : x
  2. Step 2: Convert to fraction form
    83,171.25/114,779.16 = 45,447.93/x
  3. Step 3: Cross multiply
    83,171.25x = 114,779.16 × 45,447.93
  4. Step 4: Simplify right side
    83,171.25x = 5,216,475,229.14
  5. Step 5: Solve for x
    x = 5,216,475,229.14/83,171.25
  6. Step 6: Final answer
    x = 62,719.69

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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.