Home / 31,156.00-46,734.10-7,782.44

Finding the Fourth Proportional to 31,156.00, 46,734.10 and 7,782.44

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Solution

The fourth proportional to 31,156.00, 46,734.10 and 7,782.44 is: 11,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156.00 : 46,734.10 = 7,782.44 : x
  2. Step 2: Convert to fraction form
    31,156.00/46,734.10 = 7,782.44/x
  3. Step 3: Cross multiply
    31,156.00x = 46,734.10 × 7,782.44
  4. Step 4: Simplify right side
    31,156.00x = 363,705,076.08
  5. Step 5: Solve for x
    x = 363,705,076.08/31,156.00
  6. Step 6: Final answer
    x = 11,673.68

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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.