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Finding the Fourth Proportional to 70,281.32, 96,954.72 and 43,414.16

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Solution

The fourth proportional to 70,281.32, 96,954.72 and 43,414.16 is: 59,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,281.32 : 96,954.72 = 43,414.16 : x
  2. Step 2: Convert to fraction form
    70,281.32/96,954.72 = 43,414.16/x
  3. Step 3: Cross multiply
    70,281.32x = 96,954.72 × 43,414.16
  4. Step 4: Simplify right side
    70,281.32x = 4,209,207,726.84
  5. Step 5: Solve for x
    x = 4,209,207,726.84/70,281.32
  6. Step 6: Final answer
    x = 59,890.85

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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.