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Finding the Fourth Proportional to 77,314.21, 115,978.40 and 24,006.49

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Solution

The fourth proportional to 77,314.21, 115,978.40 and 24,006.49 is: 36,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314.21 : 115,978.40 = 24,006.49 : x
  2. Step 2: Convert to fraction form
    77,314.21/115,978.40 = 24,006.49/x
  3. Step 3: Cross multiply
    77,314.21x = 115,978.40 × 24,006.49
  4. Step 4: Simplify right side
    77,314.21x = 2,784,234,299.82
  5. Step 5: Solve for x
    x = 2,784,234,299.82/77,314.21
  6. Step 6: Final answer
    x = 36,011.93

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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.