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Finding the Fourth Proportional to 31,054.72, 46,589 and 11,333.28

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Solution

The fourth proportional to 31,054.72, 46,589 and 11,333.28 is: 17,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.72 : 46,589 = 11,333.28 : x
  2. Step 2: Convert to fraction form
    31,054.72/46,589 = 11,333.28/x
  3. Step 3: Cross multiply
    31,054.72x = 46,589 × 11,333.28
  4. Step 4: Simplify right side
    31,054.72x = 528,006,181.92
  5. Step 5: Solve for x
    x = 528,006,181.92/31,054.72
  6. Step 6: Final answer
    x = 17,002.45

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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.