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Finding the Fourth Proportional to 32,919.91, 49,368.90 and 14,188.25

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Solution

The fourth proportional to 32,919.91, 49,368.90 and 14,188.25 is: 21,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919.91 : 49,368.90 = 14,188.25 : x
  2. Step 2: Convert to fraction form
    32,919.91/49,368.90 = 14,188.25/x
  3. Step 3: Cross multiply
    32,919.91x = 49,368.90 × 14,188.25
  4. Step 4: Simplify right side
    32,919.91x = 700,458,295.43
  5. Step 5: Solve for x
    x = 700,458,295.43/32,919.91
  6. Step 6: Final answer
    x = 21,277.65

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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.