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Finding the Fourth Proportional to 30,577.68, 42,192.88 and 17,834.72

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Solution

The fourth proportional to 30,577.68, 42,192.88 and 17,834.72 is: 24,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.68 : 42,192.88 = 17,834.72 : x
  2. Step 2: Convert to fraction form
    30,577.68/42,192.88 = 17,834.72/x
  3. Step 3: Cross multiply
    30,577.68x = 42,192.88 × 17,834.72
  4. Step 4: Simplify right side
    30,577.68x = 752,498,200.79
  5. Step 5: Solve for x
    x = 752,498,200.79/30,577.68
  6. Step 6: Final answer
    x = 24,609.39

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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.