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Finding the Fourth Proportional to 83,896.30, 125,880.90 and 42,343.30

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Solution

The fourth proportional to 83,896.30, 125,880.90 and 42,343.30 is: 63,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.30 : 125,880.90 = 42,343.30 : x
  2. Step 2: Convert to fraction form
    83,896.30/125,880.90 = 42,343.30/x
  3. Step 3: Cross multiply
    83,896.30x = 125,880.90 × 42,343.30
  4. Step 4: Simplify right side
    83,896.30x = 5,330,212,712.97
  5. Step 5: Solve for x
    x = 5,330,212,712.97/83,896.30
  6. Step 6: Final answer
    x = 63,533.35

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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.