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Finding the Fourth Proportional to 32,909.40, 49,339.80 and 14,174.10

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Solution

The fourth proportional to 32,909.40, 49,339.80 and 14,174.10 is: 21,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,909.40 : 49,339.80 = 14,174.10 : x
  2. Step 2: Convert to fraction form
    32,909.40/49,339.80 = 14,174.10/x
  3. Step 3: Cross multiply
    32,909.40x = 49,339.80 × 14,174.10
  4. Step 4: Simplify right side
    32,909.40x = 699,347,259.18
  5. Step 5: Solve for x
    x = 699,347,259.18/32,909.40
  6. Step 6: Final answer
    x = 21,250.68

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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.