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Finding the Fourth Proportional to 97,270.80, 145,863.82 and 51,668.52

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Solution

The fourth proportional to 97,270.80, 145,863.82 and 51,668.52 is: 77,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,270.80 : 145,863.82 = 51,668.52 : x
  2. Step 2: Convert to fraction form
    97,270.80/145,863.82 = 51,668.52/x
  3. Step 3: Cross multiply
    97,270.80x = 145,863.82 × 51,668.52
  4. Step 4: Simplify right side
    97,270.80x = 7,536,567,700.95
  5. Step 5: Solve for x
    x = 7,536,567,700.95/97,270.80
  6. Step 6: Final answer
    x = 77,480.27

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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.