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Finding the Fourth Proportional to 36,142.84, 49,870.56 and 20,827

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Solution

The fourth proportional to 36,142.84, 49,870.56 and 20,827 is: 28,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.84 : 49,870.56 = 20,827 : x
  2. Step 2: Convert to fraction form
    36,142.84/49,870.56 = 20,827/x
  3. Step 3: Cross multiply
    36,142.84x = 49,870.56 × 20,827
  4. Step 4: Simplify right side
    36,142.84x = 1,038,654,153.12
  5. Step 5: Solve for x
    x = 1,038,654,153.12/36,142.84
  6. Step 6: Final answer
    x = 28,737.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.