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Finding the Fourth Proportional to 68,393.16, 102,569.49 and 24,011.64

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Solution

The fourth proportional to 68,393.16, 102,569.49 and 24,011.64 is: 36,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,393.16 : 102,569.49 = 24,011.64 : x
  2. Step 2: Convert to fraction form
    68,393.16/102,569.49 = 24,011.64/x
  3. Step 3: Cross multiply
    68,393.16x = 102,569.49 × 24,011.64
  4. Step 4: Simplify right side
    68,393.16x = 2,462,861,668.86
  5. Step 5: Solve for x
    x = 2,462,861,668.86/68,393.16
  6. Step 6: Final answer
    x = 36,010.35

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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.