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Finding the Fourth Proportional to 31,019.78, 46,531.20 and 8,834.70

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Solution

The fourth proportional to 31,019.78, 46,531.20 and 8,834.70 is: 13,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.78 : 46,531.20 = 8,834.70 : x
  2. Step 2: Convert to fraction form
    31,019.78/46,531.20 = 8,834.70/x
  3. Step 3: Cross multiply
    31,019.78x = 46,531.20 × 8,834.70
  4. Step 4: Simplify right side
    31,019.78x = 411,089,192.64
  5. Step 5: Solve for x
    x = 411,089,192.64/31,019.78
  6. Step 6: Final answer
    x = 13,252.49

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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.