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Finding the Fourth Proportional to 78,818.50, 108,769.14 and 43,008.40

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Solution

The fourth proportional to 78,818.50, 108,769.14 and 43,008.40 is: 59,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,818.50 : 108,769.14 = 43,008.40 : x
  2. Step 2: Convert to fraction form
    78,818.50/108,769.14 = 43,008.40/x
  3. Step 3: Cross multiply
    78,818.50x = 108,769.14 × 43,008.40
  4. Step 4: Simplify right side
    78,818.50x = 4,677,986,680.78
  5. Step 5: Solve for x
    x = 4,677,986,680.78/78,818.50
  6. Step 6: Final answer
    x = 59,351.38

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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.