Home / 31,761.08-47,648-10,700.28

Finding the Fourth Proportional to 31,761.08, 47,648 and 10,700.28

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Solution

The fourth proportional to 31,761.08, 47,648 and 10,700.28 is: 16,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.08 : 47,648 = 10,700.28 : x
  2. Step 2: Convert to fraction form
    31,761.08/47,648 = 10,700.28/x
  3. Step 3: Cross multiply
    31,761.08x = 47,648 × 10,700.28
  4. Step 4: Simplify right side
    31,761.08x = 509,846,941.44
  5. Step 5: Solve for x
    x = 509,846,941.44/31,761.08
  6. Step 6: Final answer
    x = 16,052.57

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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.