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Finding the Fourth Proportional to 31,240.96, 46,863.84 and 9,054.64

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Solution

The fourth proportional to 31,240.96, 46,863.84 and 9,054.64 is: 13,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,240.96 : 46,863.84 = 9,054.64 : x
  2. Step 2: Convert to fraction form
    31,240.96/46,863.84 = 9,054.64/x
  3. Step 3: Cross multiply
    31,240.96x = 46,863.84 × 9,054.64
  4. Step 4: Simplify right side
    31,240.96x = 424,335,200.22
  5. Step 5: Solve for x
    x = 424,335,200.22/31,240.96
  6. Step 6: Final answer
    x = 13,582.66

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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.