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Finding the Fourth Proportional to 45,677.85, 63,031.95 and 27,770.37

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Solution

The fourth proportional to 45,677.85, 63,031.95 and 27,770.37 is: 38,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,677.85 : 63,031.95 = 27,770.37 : x
  2. Step 2: Convert to fraction form
    45,677.85/63,031.95 = 27,770.37/x
  3. Step 3: Cross multiply
    45,677.85x = 63,031.95 × 27,770.37
  4. Step 4: Simplify right side
    45,677.85x = 1,750,420,573.32
  5. Step 5: Solve for x
    x = 1,750,420,573.32/45,677.85
  6. Step 6: Final answer
    x = 38,320.99

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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.