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Finding the Fourth Proportional to 49,142.16, 73,713.29 and 21,044.07

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Solution

The fourth proportional to 49,142.16, 73,713.29 and 21,044.07 is: 31,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142.16 : 73,713.29 = 21,044.07 : x
  2. Step 2: Convert to fraction form
    49,142.16/73,713.29 = 21,044.07/x
  3. Step 3: Cross multiply
    49,142.16x = 73,713.29 × 21,044.07
  4. Step 4: Simplify right side
    49,142.16x = 1,551,227,529.47
  5. Step 5: Solve for x
    x = 1,551,227,529.47/49,142.16
  6. Step 6: Final answer
    x = 31,566.12

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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.