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Finding the Fourth Proportional to 97,753.30, 146,580.74 and 47,758.48

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Solution

The fourth proportional to 97,753.30, 146,580.74 and 47,758.48 is: 71,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,753.30 : 146,580.74 = 47,758.48 : x
  2. Step 2: Convert to fraction form
    97,753.30/146,580.74 = 47,758.48/x
  3. Step 3: Cross multiply
    97,753.30x = 146,580.74 × 47,758.48
  4. Step 4: Simplify right side
    97,753.30x = 7,000,473,339.68
  5. Step 5: Solve for x
    x = 7,000,473,339.68/97,753.30
  6. Step 6: Final answer
    x = 71,613.68

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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.