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Finding the Fourth Proportional to 97,458.80, 146,070.46 and 47,463.98

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Solution

The fourth proportional to 97,458.80, 146,070.46 and 47,463.98 is: 71,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,458.80 : 146,070.46 = 47,463.98 : x
  2. Step 2: Convert to fraction form
    97,458.80/146,070.46 = 47,463.98/x
  3. Step 3: Cross multiply
    97,458.80x = 146,070.46 × 47,463.98
  4. Step 4: Simplify right side
    97,458.80x = 6,933,085,392.03
  5. Step 5: Solve for x
    x = 6,933,085,392.03/97,458.80
  6. Step 6: Final answer
    x = 71,138.63

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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.