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Finding the Fourth Proportional to 30,178.49, 41,648.49 and 16,752.29

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Solution

The fourth proportional to 30,178.49, 41,648.49 and 16,752.29 is: 23,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.49 : 41,648.49 = 16,752.29 : x
  2. Step 2: Convert to fraction form
    30,178.49/41,648.49 = 16,752.29/x
  3. Step 3: Cross multiply
    30,178.49x = 41,648.49 × 16,752.29
  4. Step 4: Simplify right side
    30,178.49x = 697,707,374.30
  5. Step 5: Solve for x
    x = 697,707,374.30/30,178.49
  6. Step 6: Final answer
    x = 23,119.36

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1.5x scale

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.