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Finding the Fourth Proportional to 83,026.32, 114,574.68 and 45,301.20

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Solution

The fourth proportional to 83,026.32, 114,574.68 and 45,301.20 is: 62,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,026.32 : 114,574.68 = 45,301.20 : x
  2. Step 2: Convert to fraction form
    83,026.32/114,574.68 = 45,301.20/x
  3. Step 3: Cross multiply
    83,026.32x = 114,574.68 × 45,301.20
  4. Step 4: Simplify right side
    83,026.32x = 5,190,370,493.62
  5. Step 5: Solve for x
    x = 5,190,370,493.62/83,026.32
  6. Step 6: Final answer
    x = 62,514.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.