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Finding the Fourth Proportional to 68,585.81, 102,886.97 and 24,203.48

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Solution

The fourth proportional to 68,585.81, 102,886.97 and 24,203.48 is: 36,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,585.81 : 102,886.97 = 24,203.48 : x
  2. Step 2: Convert to fraction form
    68,585.81/102,886.97 = 24,203.48/x
  3. Step 3: Cross multiply
    68,585.81x = 102,886.97 × 24,203.48
  4. Step 4: Simplify right side
    68,585.81x = 2,490,222,085.20
  5. Step 5: Solve for x
    x = 2,490,222,085.20/68,585.81
  6. Step 6: Final answer
    x = 36,308.13

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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.