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Finding the Fourth Proportional to 82,111.11, 113,320.25 and 46,308.57

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Solution

The fourth proportional to 82,111.11, 113,320.25 and 46,308.57 is: 63,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111.11 : 113,320.25 = 46,308.57 : x
  2. Step 2: Convert to fraction form
    82,111.11/113,320.25 = 46,308.57/x
  3. Step 3: Cross multiply
    82,111.11x = 113,320.25 × 46,308.57
  4. Step 4: Simplify right side
    82,111.11x = 5,247,698,729.54
  5. Step 5: Solve for x
    x = 5,247,698,729.54/82,111.11
  6. Step 6: Final answer
    x = 63,909.73

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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.