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Finding the Fourth Proportional to 97,763.70, 146,572.65 and 41,557.80

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Solution

The fourth proportional to 97,763.70, 146,572.65 and 41,557.80 is: 62,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,763.70 : 146,572.65 = 41,557.80 : x
  2. Step 2: Convert to fraction form
    97,763.70/146,572.65 = 41,557.80/x
  3. Step 3: Cross multiply
    97,763.70x = 146,572.65 × 41,557.80
  4. Step 4: Simplify right side
    97,763.70x = 6,091,236,874.17
  5. Step 5: Solve for x
    x = 6,091,236,874.17/97,763.70
  6. Step 6: Final answer
    x = 62,305.71

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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.