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Finding the Fourth Proportional to 78,276.93, 108,022.20 and 42,466.93

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Solution

The fourth proportional to 78,276.93, 108,022.20 and 42,466.93 is: 58,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,276.93 : 108,022.20 = 42,466.93 : x
  2. Step 2: Convert to fraction form
    78,276.93/108,022.20 = 42,466.93/x
  3. Step 3: Cross multiply
    78,276.93x = 108,022.20 × 42,466.93
  4. Step 4: Simplify right side
    78,276.93x = 4,587,371,205.85
  5. Step 5: Solve for x
    x = 4,587,371,205.85/78,276.93
  6. Step 6: Final answer
    x = 58,604.38

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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.