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Finding the Fourth Proportional to 53,296.99, 79,939.12 and 41,462.58

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Solution

The fourth proportional to 53,296.99, 79,939.12 and 41,462.58 is: 62,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,296.99 : 79,939.12 = 41,462.58 : x
  2. Step 2: Convert to fraction form
    53,296.99/79,939.12 = 41,462.58/x
  3. Step 3: Cross multiply
    53,296.99x = 79,939.12 × 41,462.58
  4. Step 4: Simplify right side
    53,296.99x = 3,314,482,158.13
  5. Step 5: Solve for x
    x = 3,314,482,158.13/53,296.99
  6. Step 6: Final answer
    x = 62,188.92

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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.