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Finding the Fourth Proportional to 32,922.96, 49,386.96 and 14,203.44

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Solution

The fourth proportional to 32,922.96, 49,386.96 and 14,203.44 is: 21,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.96 : 49,386.96 = 14,203.44 : x
  2. Step 2: Convert to fraction form
    32,922.96/49,386.96 = 14,203.44/x
  3. Step 3: Cross multiply
    32,922.96x = 49,386.96 × 14,203.44
  4. Step 4: Simplify right side
    32,922.96x = 701,464,723.14
  5. Step 5: Solve for x
    x = 701,464,723.14/32,922.96
  6. Step 6: Final answer
    x = 21,306.25

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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.