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Finding the Fourth Proportional to 31,324.08, 46,987.77 and 7,950.72

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Solution

The fourth proportional to 31,324.08, 46,987.77 and 7,950.72 is: 11,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.08 : 46,987.77 = 7,950.72 : x
  2. Step 2: Convert to fraction form
    31,324.08/46,987.77 = 7,950.72/x
  3. Step 3: Cross multiply
    31,324.08x = 46,987.77 × 7,950.72
  4. Step 4: Simplify right side
    31,324.08x = 373,586,602.69
  5. Step 5: Solve for x
    x = 373,586,602.69/31,324.08
  6. Step 6: Final answer
    x = 11,926.50

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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.