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Finding the Fourth Proportional to 82,567.24, 113,952.52 and 49,033.24

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Solution

The fourth proportional to 82,567.24, 113,952.52 and 49,033.24 is: 67,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,567.24 : 113,952.52 = 49,033.24 : x
  2. Step 2: Convert to fraction form
    82,567.24/113,952.52 = 49,033.24/x
  3. Step 3: Cross multiply
    82,567.24x = 113,952.52 × 49,033.24
  4. Step 4: Simplify right side
    82,567.24x = 5,587,461,261.76
  5. Step 5: Solve for x
    x = 5,587,461,261.76/82,567.24
  6. Step 6: Final answer
    x = 67,671.65

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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.