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Finding the Fourth Proportional to 50,689.16, 76,046.70 and 21,097.16

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Solution

The fourth proportional to 50,689.16, 76,046.70 and 21,097.16 is: 31,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,689.16 : 76,046.70 = 21,097.16 : x
  2. Step 2: Convert to fraction form
    50,689.16/76,046.70 = 21,097.16/x
  3. Step 3: Cross multiply
    50,689.16x = 76,046.70 × 21,097.16
  4. Step 4: Simplify right side
    50,689.16x = 1,604,369,397.37
  5. Step 5: Solve for x
    x = 1,604,369,397.37/50,689.16
  6. Step 6: Final answer
    x = 31,651.13

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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.