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Finding the Fourth Proportional to 71,486.32, 98,663.80 and 41,267.40

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Solution

The fourth proportional to 71,486.32, 98,663.80 and 41,267.40 is: 56,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,486.32 : 98,663.80 = 41,267.40 : x
  2. Step 2: Convert to fraction form
    71,486.32/98,663.80 = 41,267.40/x
  3. Step 3: Cross multiply
    71,486.32x = 98,663.80 × 41,267.40
  4. Step 4: Simplify right side
    71,486.32x = 4,071,598,500.12
  5. Step 5: Solve for x
    x = 4,071,598,500.12/71,486.32
  6. Step 6: Final answer
    x = 56,956.33

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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.