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Finding the Fourth Proportional to 71,859, 99,165.42 and 42,051

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Solution

The fourth proportional to 71,859, 99,165.42 and 42,051 is: 58,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,859 : 99,165.42 = 42,051 : x
  2. Step 2: Convert to fraction form
    71,859/99,165.42 = 42,051/x
  3. Step 3: Cross multiply
    71,859x = 99,165.42 × 42,051
  4. Step 4: Simplify right side
    71,859x = 4,170,005,076.42
  5. Step 5: Solve for x
    x = 4,170,005,076.42/71,859
  6. Step 6: Final answer
    x = 58,030.38

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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.