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Finding the Fourth Proportional to 30,439.34, 42,008.52 and 17,522.54

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Solution

The fourth proportional to 30,439.34, 42,008.52 and 17,522.54 is: 24,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,439.34 : 42,008.52 = 17,522.54 : x
  2. Step 2: Convert to fraction form
    30,439.34/42,008.52 = 17,522.54/x
  3. Step 3: Cross multiply
    30,439.34x = 42,008.52 × 17,522.54
  4. Step 4: Simplify right side
    30,439.34x = 736,095,972.04
  5. Step 5: Solve for x
    x = 736,095,972.04/30,439.34
  6. Step 6: Final answer
    x = 24,182.39

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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.