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Finding the Fourth Proportional to 31,507.98, 47,256.47 and 11,782.46

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Solution

The fourth proportional to 31,507.98, 47,256.47 and 11,782.46 is: 17,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.98 : 47,256.47 = 11,782.46 : x
  2. Step 2: Convert to fraction form
    31,507.98/47,256.47 = 11,782.46/x
  3. Step 3: Cross multiply
    31,507.98x = 47,256.47 × 11,782.46
  4. Step 4: Simplify right side
    31,507.98x = 556,797,467.52
  5. Step 5: Solve for x
    x = 556,797,467.52/31,507.98
  6. Step 6: Final answer
    x = 17,671.63

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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.