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Finding the Fourth Proportional to 34,881.32, 52,321.86 and 9,580.86

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Solution

The fourth proportional to 34,881.32, 52,321.86 and 9,580.86 is: 14,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,881.32 : 52,321.86 = 9,580.86 : x
  2. Step 2: Convert to fraction form
    34,881.32/52,321.86 = 9,580.86/x
  3. Step 3: Cross multiply
    34,881.32x = 52,321.86 × 9,580.86
  4. Step 4: Simplify right side
    34,881.32x = 501,288,415.60
  5. Step 5: Solve for x
    x = 501,288,415.60/34,881.32
  6. Step 6: Final answer
    x = 14,371.26

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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.