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Finding the Fourth Proportional to 49,124.24, 73,624.71 and 21,011.24

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Solution

The fourth proportional to 49,124.24, 73,624.71 and 21,011.24 is: 31,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,124.24 : 73,624.71 = 21,011.24 : x
  2. Step 2: Convert to fraction form
    49,124.24/73,624.71 = 21,011.24/x
  3. Step 3: Cross multiply
    49,124.24x = 73,624.71 × 21,011.24
  4. Step 4: Simplify right side
    49,124.24x = 1,546,946,451.74
  5. Step 5: Solve for x
    x = 1,546,946,451.74/49,124.24
  6. Step 6: Final answer
    x = 31,490.49

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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.