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Finding the Fourth Proportional to 31,151.16, 46,726.50 and 7,777.44

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Solution

The fourth proportional to 31,151.16, 46,726.50 and 7,777.44 is: 11,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.16 : 46,726.50 = 7,777.44 : x
  2. Step 2: Convert to fraction form
    31,151.16/46,726.50 = 7,777.44/x
  3. Step 3: Cross multiply
    31,151.16x = 46,726.50 × 7,777.44
  4. Step 4: Simplify right side
    31,151.16x = 363,412,550.16
  5. Step 5: Solve for x
    x = 363,412,550.16/31,151.16
  6. Step 6: Final answer
    x = 11,666.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.