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Finding the Fourth Proportional to 30,573.34, 42,191.66 and 17,826.18

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Solution

The fourth proportional to 30,573.34, 42,191.66 and 17,826.18 is: 24,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,573.34 : 42,191.66 = 17,826.18 : x
  2. Step 2: Convert to fraction form
    30,573.34/42,191.66 = 17,826.18/x
  3. Step 3: Cross multiply
    30,573.34x = 42,191.66 × 17,826.18
  4. Step 4: Simplify right side
    30,573.34x = 752,116,125.66
  5. Step 5: Solve for x
    x = 752,116,125.66/30,573.34
  6. Step 6: Final answer
    x = 24,600.39

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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.