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Finding the Fourth Proportional to 52,918.84, 73,031.28 and 34,982.76

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Solution

The fourth proportional to 52,918.84, 73,031.28 and 34,982.76 is: 48,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,918.84 : 73,031.28 = 34,982.76 : x
  2. Step 2: Convert to fraction form
    52,918.84/73,031.28 = 34,982.76/x
  3. Step 3: Cross multiply
    52,918.84x = 73,031.28 × 34,982.76
  4. Step 4: Simplify right side
    52,918.84x = 2,554,835,740.73
  5. Step 5: Solve for x
    x = 2,554,835,740.73/52,918.84
  6. Step 6: Final answer
    x = 48,278.38

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Why These Related Problems?

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