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Finding the Fourth Proportional to 82,919.58, 114,429.15 and 47,109.66

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Solution

The fourth proportional to 82,919.58, 114,429.15 and 47,109.66 is: 65,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,919.58 : 114,429.15 = 47,109.66 : x
  2. Step 2: Convert to fraction form
    82,919.58/114,429.15 = 47,109.66/x
  3. Step 3: Cross multiply
    82,919.58x = 114,429.15 × 47,109.66
  4. Step 4: Simplify right side
    82,919.58x = 5,390,718,350.59
  5. Step 5: Solve for x
    x = 5,390,718,350.59/82,919.58
  6. Step 6: Final answer
    x = 65,011.40

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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.