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Finding the Fourth Proportional to 32,744, 45,185.16 and 19,315.76

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Solution

The fourth proportional to 32,744, 45,185.16 and 19,315.76 is: 26,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744 : 45,185.16 = 19,315.76 : x
  2. Step 2: Convert to fraction form
    32,744/45,185.16 = 19,315.76/x
  3. Step 3: Cross multiply
    32,744x = 45,185.16 × 19,315.76
  4. Step 4: Simplify right side
    32,744x = 872,785,706.12
  5. Step 5: Solve for x
    x = 872,785,706.12/32,744
  6. Step 6: Final answer
    x = 26,654.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.