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Finding the Fourth Proportional to 31,775.82, 47,668.56 and 9,586.32

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Solution

The fourth proportional to 31,775.82, 47,668.56 and 9,586.32 is: 14,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.82 : 47,668.56 = 9,586.32 : x
  2. Step 2: Convert to fraction form
    31,775.82/47,668.56 = 9,586.32/x
  3. Step 3: Cross multiply
    31,775.82x = 47,668.56 × 9,586.32
  4. Step 4: Simplify right side
    31,775.82x = 456,966,070.10
  5. Step 5: Solve for x
    x = 456,966,070.10/31,775.82
  6. Step 6: Final answer
    x = 14,380.94

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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.