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Finding the Fourth Proportional to 47,311.62, 70,971.53 and 17,334

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Solution

The fourth proportional to 47,311.62, 70,971.53 and 17,334 is: 26,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,311.62 : 70,971.53 = 17,334 : x
  2. Step 2: Convert to fraction form
    47,311.62/70,971.53 = 17,334/x
  3. Step 3: Cross multiply
    47,311.62x = 70,971.53 × 17,334
  4. Step 4: Simplify right side
    47,311.62x = 1,230,220,501.02
  5. Step 5: Solve for x
    x = 1,230,220,501.02/47,311.62
  6. Step 6: Final answer
    x = 26,002.50

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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.