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Finding the Fourth Proportional to 83,465.56, 115,188.12 and 47,154.41

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Solution

The fourth proportional to 83,465.56, 115,188.12 and 47,154.41 is: 65,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,465.56 : 115,188.12 = 47,154.41 : x
  2. Step 2: Convert to fraction form
    83,465.56/115,188.12 = 47,154.41/x
  3. Step 3: Cross multiply
    83,465.56x = 115,188.12 × 47,154.41
  4. Step 4: Simplify right side
    83,465.56x = 5,431,627,693.62
  5. Step 5: Solve for x
    x = 5,431,627,693.62/83,465.56
  6. Step 6: Final answer
    x = 65,076.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.