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Finding the Fourth Proportional to 31,108.98, 46,663.46 and 7,735.42

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Solution

The fourth proportional to 31,108.98, 46,663.46 and 7,735.42 is: 11,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.98 : 46,663.46 = 7,735.42 : x
  2. Step 2: Convert to fraction form
    31,108.98/46,663.46 = 7,735.42/x
  3. Step 3: Cross multiply
    31,108.98x = 46,663.46 × 7,735.42
  4. Step 4: Simplify right side
    31,108.98x = 360,961,510.41
  5. Step 5: Solve for x
    x = 360,961,510.41/31,108.98
  6. Step 6: Final answer
    x = 11,603.13

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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.