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Finding the Fourth Proportional to 97,758.96, 146,588.88 and 47,764.24

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Solution

The fourth proportional to 97,758.96, 146,588.88 and 47,764.24 is: 71,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,758.96 : 146,588.88 = 47,764.24 : x
  2. Step 2: Convert to fraction form
    97,758.96/146,588.88 = 47,764.24/x
  3. Step 3: Cross multiply
    97,758.96x = 146,588.88 × 47,764.24
  4. Step 4: Simplify right side
    97,758.96x = 7,001,706,445.65
  5. Step 5: Solve for x
    x = 7,001,706,445.65/97,758.96
  6. Step 6: Final answer
    x = 71,622.15

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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.