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Finding the Fourth Proportional to 71,285.42, 98,367.21 and 42,599.38

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Solution

The fourth proportional to 71,285.42, 98,367.21 and 42,599.38 is: 58,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,285.42 : 98,367.21 = 42,599.38 : x
  2. Step 2: Convert to fraction form
    71,285.42/98,367.21 = 42,599.38/x
  3. Step 3: Cross multiply
    71,285.42x = 98,367.21 × 42,599.38
  4. Step 4: Simplify right side
    71,285.42x = 4,190,381,945.33
  5. Step 5: Solve for x
    x = 4,190,381,945.33/71,285.42
  6. Step 6: Final answer
    x = 58,783.16

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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.