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Finding the Fourth Proportional to 84,072.84, 126,127.71 and 24,913.14

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Solution

The fourth proportional to 84,072.84, 126,127.71 and 24,913.14 is: 37,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,072.84 : 126,127.71 = 24,913.14 : x
  2. Step 2: Convert to fraction form
    84,072.84/126,127.71 = 24,913.14/x
  3. Step 3: Cross multiply
    84,072.84x = 126,127.71 × 24,913.14
  4. Step 4: Simplify right side
    84,072.84x = 3,142,237,297.11
  5. Step 5: Solve for x
    x = 3,142,237,297.11/84,072.84
  6. Step 6: Final answer
    x = 37,375.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.