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Finding the Fourth Proportional to 34,116.28, 51,168.84 and 24,225.64

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Solution

The fourth proportional to 34,116.28, 51,168.84 and 24,225.64 is: 36,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116.28 : 51,168.84 = 24,225.64 : x
  2. Step 2: Convert to fraction form
    34,116.28/51,168.84 = 24,225.64/x
  3. Step 3: Cross multiply
    34,116.28x = 51,168.84 × 24,225.64
  4. Step 4: Simplify right side
    34,116.28x = 1,239,597,897.06
  5. Step 5: Solve for x
    x = 1,239,597,897.06/34,116.28
  6. Step 6: Final answer
    x = 36,334.50

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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.