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Finding the Fourth Proportional to 73,920, 110,880.96 and 24,672

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Solution

The fourth proportional to 73,920, 110,880.96 and 24,672 is: 37,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920 : 110,880.96 = 24,672 : x
  2. Step 2: Convert to fraction form
    73,920/110,880.96 = 24,672/x
  3. Step 3: Cross multiply
    73,920x = 110,880.96 × 24,672
  4. Step 4: Simplify right side
    73,920x = 2,735,655,045.12
  5. Step 5: Solve for x
    x = 2,735,655,045.12/73,920
  6. Step 6: Final answer
    x = 37,008.32

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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.