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Finding the Fourth Proportional to 31,959.24, 47,918.82 and 9,765.24

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Solution

The fourth proportional to 31,959.24, 47,918.82 and 9,765.24 is: 14,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,959.24 : 47,918.82 = 9,765.24 : x
  2. Step 2: Convert to fraction form
    31,959.24/47,918.82 = 9,765.24/x
  3. Step 3: Cross multiply
    31,959.24x = 47,918.82 × 9,765.24
  4. Step 4: Simplify right side
    31,959.24x = 467,938,777.82
  5. Step 5: Solve for x
    x = 467,938,777.82/31,959.24
  6. Step 6: Final answer
    x = 14,641.74

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1.5x scale

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.