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Finding the Fourth Proportional to 83,888.34, 125,876.28 and 34,005.30

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Solution

The fourth proportional to 83,888.34, 125,876.28 and 34,005.30 is: 51,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,888.34 : 125,876.28 = 34,005.30 : x
  2. Step 2: Convert to fraction form
    83,888.34/125,876.28 = 34,005.30/x
  3. Step 3: Cross multiply
    83,888.34x = 125,876.28 × 34,005.30
  4. Step 4: Simplify right side
    83,888.34x = 4,280,460,664.28
  5. Step 5: Solve for x
    x = 4,280,460,664.28/83,888.34
  6. Step 6: Final answer
    x = 51,025.69

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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.