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Finding the Fourth Proportional to 82,805.67, 114,272.25 and 45,080.19

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Solution

The fourth proportional to 82,805.67, 114,272.25 and 45,080.19 is: 62,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805.67 : 114,272.25 = 45,080.19 : x
  2. Step 2: Convert to fraction form
    82,805.67/114,272.25 = 45,080.19/x
  3. Step 3: Cross multiply
    82,805.67x = 114,272.25 × 45,080.19
  4. Step 4: Simplify right side
    82,805.67x = 5,151,414,741.73
  5. Step 5: Solve for x
    x = 5,151,414,741.73/82,805.67
  6. Step 6: Final answer
    x = 62,210.89

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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.