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Finding the Fourth Proportional to 75,751.32, 104,537.34 and 42,219.48

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Solution

The fourth proportional to 75,751.32, 104,537.34 and 42,219.48 is: 58,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,751.32 : 104,537.34 = 42,219.48 : x
  2. Step 2: Convert to fraction form
    75,751.32/104,537.34 = 42,219.48/x
  3. Step 3: Cross multiply
    75,751.32x = 104,537.34 × 42,219.48
  4. Step 4: Simplify right side
    75,751.32x = 4,413,512,135.38
  5. Step 5: Solve for x
    x = 4,413,512,135.38/75,751.32
  6. Step 6: Final answer
    x = 58,263.17

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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.