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Finding the Fourth Proportional to 78,614.49, 108,489.94 and 42,806.46

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Solution

The fourth proportional to 78,614.49, 108,489.94 and 42,806.46 is: 59,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,614.49 : 108,489.94 = 42,806.46 : x
  2. Step 2: Convert to fraction form
    78,614.49/108,489.94 = 42,806.46/x
  3. Step 3: Cross multiply
    78,614.49x = 108,489.94 × 42,806.46
  4. Step 4: Simplify right side
    78,614.49x = 4,644,070,277.01
  5. Step 5: Solve for x
    x = 4,644,070,277.01/78,614.49
  6. Step 6: Final answer
    x = 59,073.97

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1.5x scale

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.