Home / 31,783.97-47,678.23-8,410.13

Finding the Fourth Proportional to 31,783.97, 47,678.23 and 8,410.13

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Solution

The fourth proportional to 31,783.97, 47,678.23 and 8,410.13 is: 12,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.97 : 47,678.23 = 8,410.13 : x
  2. Step 2: Convert to fraction form
    31,783.97/47,678.23 = 8,410.13/x
  3. Step 3: Cross multiply
    31,783.97x = 47,678.23 × 8,410.13
  4. Step 4: Simplify right side
    31,783.97x = 400,979,853.05
  5. Step 5: Solve for x
    x = 400,979,853.05/31,783.97
  6. Step 6: Final answer
    x = 12,615.79

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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.