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Finding the Fourth Proportional to 31,235.26, 46,860.42 and 9,050.17

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Solution

The fourth proportional to 31,235.26, 46,860.42 and 9,050.17 is: 13,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.26 : 46,860.42 = 9,050.17 : x
  2. Step 2: Convert to fraction form
    31,235.26/46,860.42 = 9,050.17/x
  3. Step 3: Cross multiply
    31,235.26x = 46,860.42 × 9,050.17
  4. Step 4: Simplify right side
    31,235.26x = 424,094,767.27
  5. Step 5: Solve for x
    x = 424,094,767.27/31,235.26
  6. Step 6: Final answer
    x = 13,577.44

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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.