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Finding the Fourth Proportional to 83,007.40, 114,555.63 and 47,200.75

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Solution

The fourth proportional to 83,007.40, 114,555.63 and 47,200.75 is: 65,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.40 : 114,555.63 = 47,200.75 : x
  2. Step 2: Convert to fraction form
    83,007.40/114,555.63 = 47,200.75/x
  3. Step 3: Cross multiply
    83,007.40x = 114,555.63 × 47,200.75
  4. Step 4: Simplify right side
    83,007.40x = 5,407,111,652.72
  5. Step 5: Solve for x
    x = 5,407,111,652.72/83,007.40
  6. Step 6: Final answer
    x = 65,140.12

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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.