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Finding the Fourth Proportional to 82,875.29, 114,367.82 and 45,149.54

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Solution

The fourth proportional to 82,875.29, 114,367.82 and 45,149.54 is: 62,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,875.29 : 114,367.82 = 45,149.54 : x
  2. Step 2: Convert to fraction form
    82,875.29/114,367.82 = 45,149.54/x
  3. Step 3: Cross multiply
    82,875.29x = 114,367.82 × 45,149.54
  4. Step 4: Simplify right side
    82,875.29x = 5,163,653,666.22
  5. Step 5: Solve for x
    x = 5,163,653,666.22/82,875.29
  6. Step 6: Final answer
    x = 62,306.32

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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.