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Finding the Fourth Proportional to 51,952.99, 71,693.68 and 29,291.78

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Solution

The fourth proportional to 51,952.99, 71,693.68 and 29,291.78 is: 40,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952.99 : 71,693.68 = 29,291.78 : x
  2. Step 2: Convert to fraction form
    51,952.99/71,693.68 = 29,291.78/x
  3. Step 3: Cross multiply
    51,952.99x = 71,693.68 × 29,291.78
  4. Step 4: Simplify right side
    51,952.99x = 2,100,035,501.95
  5. Step 5: Solve for x
    x = 2,100,035,501.95/51,952.99
  6. Step 6: Final answer
    x = 40,421.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.