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Finding the Fourth Proportional to 31,762.96, 47,651.32 and 9,574.48

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Solution

The fourth proportional to 31,762.96, 47,651.32 and 9,574.48 is: 14,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.96 : 47,651.32 = 9,574.48 : x
  2. Step 2: Convert to fraction form
    31,762.96/47,651.32 = 9,574.48/x
  3. Step 3: Cross multiply
    31,762.96x = 47,651.32 × 9,574.48
  4. Step 4: Simplify right side
    31,762.96x = 456,236,610.31
  5. Step 5: Solve for x
    x = 456,236,610.31/31,762.96
  6. Step 6: Final answer
    x = 14,363.79

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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.