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Finding the Fourth Proportional to 42,007.10, 63,012.41 and 19,538.86

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Solution

The fourth proportional to 42,007.10, 63,012.41 and 19,538.86 is: 29,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,007.10 : 63,012.41 = 19,538.86 : x
  2. Step 2: Convert to fraction form
    42,007.10/63,012.41 = 19,538.86/x
  3. Step 3: Cross multiply
    42,007.10x = 63,012.41 × 19,538.86
  4. Step 4: Simplify right side
    42,007.10x = 1,231,190,244.50
  5. Step 5: Solve for x
    x = 1,231,190,244.50/42,007.10
  6. Step 6: Final answer
    x = 29,309.10

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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.