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Finding the Fourth Proportional to 68,182.32, 102,271.04 and 23,808.90

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Solution

The fourth proportional to 68,182.32, 102,271.04 and 23,808.90 is: 35,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,182.32 : 102,271.04 = 23,808.90 : x
  2. Step 2: Convert to fraction form
    68,182.32/102,271.04 = 23,808.90/x
  3. Step 3: Cross multiply
    68,182.32x = 102,271.04 × 23,808.90
  4. Step 4: Simplify right side
    68,182.32x = 2,434,960,964.26
  5. Step 5: Solve for x
    x = 2,434,960,964.26/68,182.32
  6. Step 6: Final answer
    x = 35,712.50

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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.