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Finding the Fourth Proportional to 83,418.96, 115,117.02 and 45,693.48

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Solution

The fourth proportional to 83,418.96, 115,117.02 and 45,693.48 is: 63,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,418.96 : 115,117.02 = 45,693.48 : x
  2. Step 2: Convert to fraction form
    83,418.96/115,117.02 = 45,693.48/x
  3. Step 3: Cross multiply
    83,418.96x = 115,117.02 × 45,693.48
  4. Step 4: Simplify right side
    83,418.96x = 5,260,097,251.03
  5. Step 5: Solve for x
    x = 5,260,097,251.03/83,418.96
  6. Step 6: Final answer
    x = 63,056.38

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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.