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Finding the Fourth Proportional to 67,348.70, 92,903.16 and 42,154.46

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Solution

The fourth proportional to 67,348.70, 92,903.16 and 42,154.46 is: 58,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,348.70 : 92,903.16 = 42,154.46 : x
  2. Step 2: Convert to fraction form
    67,348.70/92,903.16 = 42,154.46/x
  3. Step 3: Cross multiply
    67,348.70x = 92,903.16 × 42,154.46
  4. Step 4: Simplify right side
    67,348.70x = 3,916,282,542.09
  5. Step 5: Solve for x
    x = 3,916,282,542.09/67,348.70
  6. Step 6: Final answer
    x = 58,149.34

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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.