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Finding the Fourth Proportional to 42,007.50, 63,021.38 and 12,022.20

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Solution

The fourth proportional to 42,007.50, 63,021.38 and 12,022.20 is: 18,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,007.50 : 63,021.38 = 12,022.20 : x
  2. Step 2: Convert to fraction form
    42,007.50/63,021.38 = 12,022.20/x
  3. Step 3: Cross multiply
    42,007.50x = 63,021.38 × 12,022.20
  4. Step 4: Simplify right side
    42,007.50x = 757,655,574.53
  5. Step 5: Solve for x
    x = 757,655,574.53/42,007.50
  6. Step 6: Final answer
    x = 18,036.20

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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.