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Finding the Fourth Proportional to 30,930, 42,689.76 and 17,502

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Solution

The fourth proportional to 30,930, 42,689.76 and 17,502 is: 24,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930 : 42,689.76 = 17,502 : x
  2. Step 2: Convert to fraction form
    30,930/42,689.76 = 17,502/x
  3. Step 3: Cross multiply
    30,930x = 42,689.76 × 17,502
  4. Step 4: Simplify right side
    30,930x = 747,156,179.52
  5. Step 5: Solve for x
    x = 747,156,179.52/30,930
  6. Step 6: Final answer
    x = 24,156.36

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