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Finding the Fourth Proportional to 32,326.06, 48,489.10 and 8,952.50

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Solution

The fourth proportional to 32,326.06, 48,489.10 and 8,952.50 is: 13,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,326.06 : 48,489.10 = 8,952.50 : x
  2. Step 2: Convert to fraction form
    32,326.06/48,489.10 = 8,952.50/x
  3. Step 3: Cross multiply
    32,326.06x = 48,489.10 × 8,952.50
  4. Step 4: Simplify right side
    32,326.06x = 434,098,667.75
  5. Step 5: Solve for x
    x = 434,098,667.75/32,326.06
  6. Step 6: Final answer
    x = 13,428.75

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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.