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Finding the Fourth Proportional to 29,672.75, 40,948.40 and 16,424.75

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Solution

The fourth proportional to 29,672.75, 40,948.40 and 16,424.75 is: 22,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672.75 : 40,948.40 = 16,424.75 : x
  2. Step 2: Convert to fraction form
    29,672.75/40,948.40 = 16,424.75/x
  3. Step 3: Cross multiply
    29,672.75x = 40,948.40 × 16,424.75
  4. Step 4: Simplify right side
    29,672.75x = 672,567,232.90
  5. Step 5: Solve for x
    x = 672,567,232.90/29,672.75
  6. Step 6: Final answer
    x = 22,666.16

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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.