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Finding the Fourth Proportional to 52,069.82, 71,856.34 and 28,196.49

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Solution

The fourth proportional to 52,069.82, 71,856.34 and 28,196.49 is: 38,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069.82 : 71,856.34 = 28,196.49 : x
  2. Step 2: Convert to fraction form
    52,069.82/71,856.34 = 28,196.49/x
  3. Step 3: Cross multiply
    52,069.82x = 71,856.34 × 28,196.49
  4. Step 4: Simplify right side
    52,069.82x = 2,026,096,501.76
  5. Step 5: Solve for x
    x = 2,026,096,501.76/52,069.82
  6. Step 6: Final answer
    x = 38,911.15

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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.