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Finding the Fourth Proportional to 31,125.94, 46,689.32 and 10,349.44

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Solution

The fourth proportional to 31,125.94, 46,689.32 and 10,349.44 is: 15,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.94 : 46,689.32 = 10,349.44 : x
  2. Step 2: Convert to fraction form
    31,125.94/46,689.32 = 10,349.44/x
  3. Step 3: Cross multiply
    31,125.94x = 46,689.32 × 10,349.44
  4. Step 4: Simplify right side
    31,125.94x = 483,208,147.51
  5. Step 5: Solve for x
    x = 483,208,147.51/31,125.94
  6. Step 6: Final answer
    x = 15,524.29

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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.