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Finding the Fourth Proportional to 31,572.88, 47,361.88 and 10,512.16

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Solution

The fourth proportional to 31,572.88, 47,361.88 and 10,512.16 is: 15,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572.88 : 47,361.88 = 10,512.16 : x
  2. Step 2: Convert to fraction form
    31,572.88/47,361.88 = 10,512.16/x
  3. Step 3: Cross multiply
    31,572.88x = 47,361.88 × 10,512.16
  4. Step 4: Simplify right side
    31,572.88x = 497,875,660.46
  5. Step 5: Solve for x
    x = 497,875,660.46/31,572.88
  6. Step 6: Final answer
    x = 15,769.09

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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.