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Finding the Fourth Proportional to 32,147.49, 48,221.25 and 14,622.33

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Solution

The fourth proportional to 32,147.49, 48,221.25 and 14,622.33 is: 21,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.49 : 48,221.25 = 14,622.33 : x
  2. Step 2: Convert to fraction form
    32,147.49/48,221.25 = 14,622.33/x
  3. Step 3: Cross multiply
    32,147.49x = 48,221.25 × 14,622.33
  4. Step 4: Simplify right side
    32,147.49x = 705,107,030.51
  5. Step 5: Solve for x
    x = 705,107,030.51/32,147.49
  6. Step 6: Final answer
    x = 21,933.50

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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.