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Finding the Fourth Proportional to 31,370.52, 47,057.61 and 8,879.32

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Solution

The fourth proportional to 31,370.52, 47,057.61 and 8,879.32 is: 13,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.52 : 47,057.61 = 8,879.32 : x
  2. Step 2: Convert to fraction form
    31,370.52/47,057.61 = 8,879.32/x
  3. Step 3: Cross multiply
    31,370.52x = 47,057.61 × 8,879.32
  4. Step 4: Simplify right side
    31,370.52x = 417,839,577.63
  5. Step 5: Solve for x
    x = 417,839,577.63/31,370.52
  6. Step 6: Final answer
    x = 13,319.50

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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.