Home / 31,773.12-47,664-10,998.24

Finding the Fourth Proportional to 31,773.12, 47,664 and 10,998.24

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Solution

The fourth proportional to 31,773.12, 47,664 and 10,998.24 is: 16,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.12 : 47,664 = 10,998.24 : x
  2. Step 2: Convert to fraction form
    31,773.12/47,664 = 10,998.24/x
  3. Step 3: Cross multiply
    31,773.12x = 47,664 × 10,998.24
  4. Step 4: Simplify right side
    31,773.12x = 524,220,111.36
  5. Step 5: Solve for x
    x = 524,220,111.36/31,773.12
  6. Step 6: Final answer
    x = 16,498.86

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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.