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Finding the Fourth Proportional to 68,708.30, 103,051.65 and 24,328.70

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Solution

The fourth proportional to 68,708.30, 103,051.65 and 24,328.70 is: 36,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,708.30 : 103,051.65 = 24,328.70 : x
  2. Step 2: Convert to fraction form
    68,708.30/103,051.65 = 24,328.70/x
  3. Step 3: Cross multiply
    68,708.30x = 103,051.65 × 24,328.70
  4. Step 4: Simplify right side
    68,708.30x = 2,507,112,677.36
  5. Step 5: Solve for x
    x = 2,507,112,677.36/68,708.30
  6. Step 6: Final answer
    x = 36,489.23

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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.