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Finding the Fourth Proportional to 32,011.77, 48,017.03 and 14,469.33

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Solution

The fourth proportional to 32,011.77, 48,017.03 and 14,469.33 is: 21,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.77 : 48,017.03 = 14,469.33 : x
  2. Step 2: Convert to fraction form
    32,011.77/48,017.03 = 14,469.33/x
  3. Step 3: Cross multiply
    32,011.77x = 48,017.03 × 14,469.33
  4. Step 4: Simplify right side
    32,011.77x = 694,774,180.34
  5. Step 5: Solve for x
    x = 694,774,180.34/32,011.77
  6. Step 6: Final answer
    x = 21,703.71

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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.