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Finding the Fourth Proportional to 31,262.84, 46,899.15 and 10,198.01

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Solution

The fourth proportional to 31,262.84, 46,899.15 and 10,198.01 is: 15,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.84 : 46,899.15 = 10,198.01 : x
  2. Step 2: Convert to fraction form
    31,262.84/46,899.15 = 10,198.01/x
  3. Step 3: Cross multiply
    31,262.84x = 46,899.15 × 10,198.01
  4. Step 4: Simplify right side
    31,262.84x = 478,278,156.18
  5. Step 5: Solve for x
    x = 478,278,156.18/31,262.84
  6. Step 6: Final answer
    x = 15,298.62

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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.