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Finding the Fourth Proportional to 97,465.82, 146,080.92 and 47,471

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Solution

The fourth proportional to 97,465.82, 146,080.92 and 47,471 is: 71,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.82 : 146,080.92 = 47,471 : x
  2. Step 2: Convert to fraction form
    97,465.82/146,080.92 = 47,471/x
  3. Step 3: Cross multiply
    97,465.82x = 146,080.92 × 47,471
  4. Step 4: Simplify right side
    97,465.82x = 6,934,607,353.32
  5. Step 5: Solve for x
    x = 6,934,607,353.32/97,465.82
  6. Step 6: Final answer
    x = 71,149.12

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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.