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Finding the Fourth Proportional to 51,614.78, 77,435.10 and 14,678.78

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Solution

The fourth proportional to 51,614.78, 77,435.10 and 14,678.78 is: 22,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,614.78 : 77,435.10 = 14,678.78 : x
  2. Step 2: Convert to fraction form
    51,614.78/77,435.10 = 14,678.78/x
  3. Step 3: Cross multiply
    51,614.78x = 77,435.10 × 14,678.78
  4. Step 4: Simplify right side
    51,614.78x = 1,136,652,797.18
  5. Step 5: Solve for x
    x = 1,136,652,797.18/51,614.78
  6. Step 6: Final answer
    x = 22,021.85

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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.