Home / 31,783.24-47,645-10,708.52

Finding the Fourth Proportional to 31,783.24, 47,645 and 10,708.52

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Solution

The fourth proportional to 31,783.24, 47,645 and 10,708.52 is: 16,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.24 : 47,645 = 10,708.52 : x
  2. Step 2: Convert to fraction form
    31,783.24/47,645 = 10,708.52/x
  3. Step 3: Cross multiply
    31,783.24x = 47,645 × 10,708.52
  4. Step 4: Simplify right side
    31,783.24x = 510,207,435.40
  5. Step 5: Solve for x
    x = 510,207,435.40/31,783.24
  6. Step 6: Final answer
    x = 16,052.72

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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.