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Finding the Fourth Proportional to 71,695.48, 98,947.32 and 41,071.02

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Solution

The fourth proportional to 71,695.48, 98,947.32 and 41,071.02 is: 56,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.48 : 98,947.32 = 41,071.02 : x
  2. Step 2: Convert to fraction form
    71,695.48/98,947.32 = 41,071.02/x
  3. Step 3: Cross multiply
    71,695.48x = 98,947.32 × 41,071.02
  4. Step 4: Simplify right side
    71,695.48x = 4,063,867,358.67
  5. Step 5: Solve for x
    x = 4,063,867,358.67/71,695.48
  6. Step 6: Final answer
    x = 56,682.34

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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.