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Finding the Fourth Proportional to 31,060.26, 46,610.44 and 14,428.13

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Solution

The fourth proportional to 31,060.26, 46,610.44 and 14,428.13 is: 21,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060.26 : 46,610.44 = 14,428.13 : x
  2. Step 2: Convert to fraction form
    31,060.26/46,610.44 = 14,428.13/x
  3. Step 3: Cross multiply
    31,060.26x = 46,610.44 × 14,428.13
  4. Step 4: Simplify right side
    31,060.26x = 672,501,218.55
  5. Step 5: Solve for x
    x = 672,501,218.55/31,060.26
  6. Step 6: Final answer
    x = 21,651.50

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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.