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Finding the Fourth Proportional to 51,814.40, 77,606.40 and 44,902.40

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Solution

The fourth proportional to 51,814.40, 77,606.40 and 44,902.40 is: 67,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.40 : 77,606.40 = 44,902.40 : x
  2. Step 2: Convert to fraction form
    51,814.40/77,606.40 = 44,902.40/x
  3. Step 3: Cross multiply
    51,814.40x = 77,606.40 × 44,902.40
  4. Step 4: Simplify right side
    51,814.40x = 3,484,713,615.36
  5. Step 5: Solve for x
    x = 3,484,713,615.36/51,814.40
  6. Step 6: Final answer
    x = 67,253.77

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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.