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Finding the Fourth Proportional to 42,201.16, 58,210.14 and 27,069.86

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Solution

The fourth proportional to 42,201.16, 58,210.14 and 27,069.86 is: 37,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,201.16 : 58,210.14 = 27,069.86 : x
  2. Step 2: Convert to fraction form
    42,201.16/58,210.14 = 27,069.86/x
  3. Step 3: Cross multiply
    42,201.16x = 58,210.14 × 27,069.86
  4. Step 4: Simplify right side
    42,201.16x = 1,575,740,340.38
  5. Step 5: Solve for x
    x = 1,575,740,340.38/42,201.16
  6. Step 6: Final answer
    x = 37,338.79

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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.