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Finding the Fourth Proportional to 96,876, 145,275.12 and 46,915.20

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Solution

The fourth proportional to 96,876, 145,275.12 and 46,915.20 is: 70,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,876 : 145,275.12 = 46,915.20 : x
  2. Step 2: Convert to fraction form
    96,876/145,275.12 = 46,915.20/x
  3. Step 3: Cross multiply
    96,876x = 145,275.12 × 46,915.20
  4. Step 4: Simplify right side
    96,876x = 6,815,611,309.82
  5. Step 5: Solve for x
    x = 6,815,611,309.82/96,876
  6. Step 6: Final answer
    x = 70,353.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.