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Finding the Fourth Proportional to 30,878.16, 42,607.02 and 17,960.29

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Solution

The fourth proportional to 30,878.16, 42,607.02 and 17,960.29 is: 24,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.16 : 42,607.02 = 17,960.29 : x
  2. Step 2: Convert to fraction form
    30,878.16/42,607.02 = 17,960.29/x
  3. Step 3: Cross multiply
    30,878.16x = 42,607.02 × 17,960.29
  4. Step 4: Simplify right side
    30,878.16x = 765,234,451.95
  5. Step 5: Solve for x
    x = 765,234,451.95/30,878.16
  6. Step 6: Final answer
    x = 24,782.39

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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.