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Finding the Fourth Proportional to 82,876.68, 114,370.02 and 45,151.20

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Solution

The fourth proportional to 82,876.68, 114,370.02 and 45,151.20 is: 62,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,876.68 : 114,370.02 = 45,151.20 : x
  2. Step 2: Convert to fraction form
    82,876.68/114,370.02 = 45,151.20/x
  3. Step 3: Cross multiply
    82,876.68x = 114,370.02 × 45,151.20
  4. Step 4: Simplify right side
    82,876.68x = 5,163,943,647.02
  5. Step 5: Solve for x
    x = 5,163,943,647.02/82,876.68
  6. Step 6: Final answer
    x = 62,308.77

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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.