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Finding the Fourth Proportional to 30,902.24, 42,644.95 and 17,473.52

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Solution

The fourth proportional to 30,902.24, 42,644.95 and 17,473.52 is: 24,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.24 : 42,644.95 = 17,473.52 : x
  2. Step 2: Convert to fraction form
    30,902.24/42,644.95 = 17,473.52/x
  3. Step 3: Cross multiply
    30,902.24x = 42,644.95 × 17,473.52
  4. Step 4: Simplify right side
    30,902.24x = 745,157,449.65
  5. Step 5: Solve for x
    x = 745,157,449.65/30,902.24
  6. Step 6: Final answer
    x = 24,113.38

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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.