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Finding the Fourth Proportional to 71,821, 99,124.50 and 42,007.24

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Solution

The fourth proportional to 71,821, 99,124.50 and 42,007.24 is: 57,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,821 : 99,124.50 = 42,007.24 : x
  2. Step 2: Convert to fraction form
    71,821/99,124.50 = 42,007.24/x
  3. Step 3: Cross multiply
    71,821x = 99,124.50 × 42,007.24
  4. Step 4: Simplify right side
    71,821x = 4,163,946,661.38
  5. Step 5: Solve for x
    x = 4,163,946,661.38/71,821
  6. Step 6: Final answer
    x = 57,976.73

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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.