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Finding the Fourth Proportional to 24,711.90, 37,070.12 and 8,072.02

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Solution

The fourth proportional to 24,711.90, 37,070.12 and 8,072.02 is: 12,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.90 : 37,070.12 = 8,072.02 : x
  2. Step 2: Convert to fraction form
    24,711.90/37,070.12 = 8,072.02/x
  3. Step 3: Cross multiply
    24,711.90x = 37,070.12 × 8,072.02
  4. Step 4: Simplify right side
    24,711.90x = 299,230,750.04
  5. Step 5: Solve for x
    x = 299,230,750.04/24,711.90
  6. Step 6: Final answer
    x = 12,108.77

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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.