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Finding the Fourth Proportional to 70,076.90, 96,675.78 and 42,854.18

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Solution

The fourth proportional to 70,076.90, 96,675.78 and 42,854.18 is: 59,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,076.90 : 96,675.78 = 42,854.18 : x
  2. Step 2: Convert to fraction form
    70,076.90/96,675.78 = 42,854.18/x
  3. Step 3: Cross multiply
    70,076.90x = 96,675.78 × 42,854.18
  4. Step 4: Simplify right side
    70,076.90x = 4,142,960,794.38
  5. Step 5: Solve for x
    x = 4,142,960,794.38/70,076.90
  6. Step 6: Final answer
    x = 59,120.21

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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.