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Finding the Fourth Proportional to 74,576.49, 111,881.25 and 34,620

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Solution

The fourth proportional to 74,576.49, 111,881.25 and 34,620 is: 51,937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,576.49 : 111,881.25 = 34,620 : x
  2. Step 2: Convert to fraction form
    74,576.49/111,881.25 = 34,620/x
  3. Step 3: Cross multiply
    74,576.49x = 111,881.25 × 34,620
  4. Step 4: Simplify right side
    74,576.49x = 3,873,328,875
  5. Step 5: Solve for x
    x = 3,873,328,875/74,576.49
  6. Step 6: Final answer
    x = 51,937.67

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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.