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Finding the Fourth Proportional to 31,089.33, 46,620.27 and 8,897.64

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Solution

The fourth proportional to 31,089.33, 46,620.27 and 8,897.64 is: 13,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089.33 : 46,620.27 = 8,897.64 : x
  2. Step 2: Convert to fraction form
    31,089.33/46,620.27 = 8,897.64/x
  3. Step 3: Cross multiply
    31,089.33x = 46,620.27 × 8,897.64
  4. Step 4: Simplify right side
    31,089.33x = 414,810,379.16
  5. Step 5: Solve for x
    x = 414,810,379.16/31,089.33
  6. Step 6: Final answer
    x = 13,342.53

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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.