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Finding the Fourth Proportional to 82,984.19, 114,517.65 and 47,174.20

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Solution

The fourth proportional to 82,984.19, 114,517.65 and 47,174.20 is: 65,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,984.19 : 114,517.65 = 47,174.20 : x
  2. Step 2: Convert to fraction form
    82,984.19/114,517.65 = 47,174.20/x
  3. Step 3: Cross multiply
    82,984.19x = 114,517.65 × 47,174.20
  4. Step 4: Simplify right side
    82,984.19x = 5,402,278,642.57
  5. Step 5: Solve for x
    x = 5,402,278,642.57/82,984.19
  6. Step 6: Final answer
    x = 65,100.10

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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.