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Finding the Fourth Proportional to 97,465.80, 146,198.70 and 47,577.90

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Solution

The fourth proportional to 97,465.80, 146,198.70 and 47,577.90 is: 71,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.80 : 146,198.70 = 47,577.90 : x
  2. Step 2: Convert to fraction form
    97,465.80/146,198.70 = 47,577.90/x
  3. Step 3: Cross multiply
    97,465.80x = 146,198.70 × 47,577.90
  4. Step 4: Simplify right side
    97,465.80x = 6,955,827,128.73
  5. Step 5: Solve for x
    x = 6,955,827,128.73/97,465.80
  6. Step 6: Final answer
    x = 71,366.85

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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.