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Finding the Fourth Proportional to 61,238.16, 91,857.68 and 16,863.92

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Solution

The fourth proportional to 61,238.16, 91,857.68 and 16,863.92 is: 25,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,238.16 : 91,857.68 = 16,863.92 : x
  2. Step 2: Convert to fraction form
    61,238.16/91,857.68 = 16,863.92/x
  3. Step 3: Cross multiply
    61,238.16x = 91,857.68 × 16,863.92
  4. Step 4: Simplify right side
    61,238.16x = 1,549,080,566.91
  5. Step 5: Solve for x
    x = 1,549,080,566.91/61,238.16
  6. Step 6: Final answer
    x = 25,296.00

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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.