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Finding the Fourth Proportional to 31,524.35, 47,307 and 11,802.74

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Solution

The fourth proportional to 31,524.35, 47,307 and 11,802.74 is: 17,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.35 : 47,307 = 11,802.74 : x
  2. Step 2: Convert to fraction form
    31,524.35/47,307 = 11,802.74/x
  3. Step 3: Cross multiply
    31,524.35x = 47,307 × 11,802.74
  4. Step 4: Simplify right side
    31,524.35x = 558,351,984.65
  5. Step 5: Solve for x
    x = 558,351,984.65/31,524.35
  6. Step 6: Final answer
    x = 17,711.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.