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Finding the Fourth Proportional to 71,094.72, 106,647.75 and 24,348

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Solution

The fourth proportional to 71,094.72, 106,647.75 and 24,348 is: 36,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,094.72 : 106,647.75 = 24,348 : x
  2. Step 2: Convert to fraction form
    71,094.72/106,647.75 = 24,348/x
  3. Step 3: Cross multiply
    71,094.72x = 106,647.75 × 24,348
  4. Step 4: Simplify right side
    71,094.72x = 2,596,659,417
  5. Step 5: Solve for x
    x = 2,596,659,417/71,094.72
  6. Step 6: Final answer
    x = 36,523.94

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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.