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Finding the Fourth Proportional to 31,594.50, 47,392.25 and 10,534.25

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Solution

The fourth proportional to 31,594.50, 47,392.25 and 10,534.25 is: 15,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.50 : 47,392.25 = 10,534.25 : x
  2. Step 2: Convert to fraction form
    31,594.50/47,392.25 = 10,534.25/x
  3. Step 3: Cross multiply
    31,594.50x = 47,392.25 × 10,534.25
  4. Step 4: Simplify right side
    31,594.50x = 499,241,809.56
  5. Step 5: Solve for x
    x = 499,241,809.56/31,594.50
  6. Step 6: Final answer
    x = 15,801.54

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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.