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Finding the Fourth Proportional to 110,909.34, 166,339.50 and 32,006.40

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Solution

The fourth proportional to 110,909.34, 166,339.50 and 32,006.40 is: 48,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,909.34 : 166,339.50 = 32,006.40 : x
  2. Step 2: Convert to fraction form
    110,909.34/166,339.50 = 32,006.40/x
  3. Step 3: Cross multiply
    110,909.34x = 166,339.50 × 32,006.40
  4. Step 4: Simplify right side
    110,909.34x = 5,323,928,572.80
  5. Step 5: Solve for x
    x = 5,323,928,572.80/110,909.34
  6. Step 6: Final answer
    x = 48,002.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.