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Finding the Fourth Proportional to 31,205.04, 46,566.06 and 27,882

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Solution

The fourth proportional to 31,205.04, 46,566.06 and 27,882 is: 41,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.04 : 46,566.06 = 27,882 : x
  2. Step 2: Convert to fraction form
    31,205.04/46,566.06 = 27,882/x
  3. Step 3: Cross multiply
    31,205.04x = 46,566.06 × 27,882
  4. Step 4: Simplify right side
    31,205.04x = 1,298,354,884.92
  5. Step 5: Solve for x
    x = 1,298,354,884.92/31,205.04
  6. Step 6: Final answer
    x = 41,607.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.