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Finding the Fourth Proportional to 24,116.40, 36,172.80 and 10,072.80

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Solution

The fourth proportional to 24,116.40, 36,172.80 and 10,072.80 is: 15,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.40 : 36,172.80 = 10,072.80 : x
  2. Step 2: Convert to fraction form
    24,116.40/36,172.80 = 10,072.80/x
  3. Step 3: Cross multiply
    24,116.40x = 36,172.80 × 10,072.80
  4. Step 4: Simplify right side
    24,116.40x = 364,361,379.84
  5. Step 5: Solve for x
    x = 364,361,379.84/24,116.40
  6. Step 6: Final answer
    x = 15,108.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.