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Finding the Fourth Proportional to 71,980, 99,332.40 and 42,172

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Solution

The fourth proportional to 71,980, 99,332.40 and 42,172 is: 58,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,980 : 99,332.40 = 42,172 : x
  2. Step 2: Convert to fraction form
    71,980/99,332.40 = 42,172/x
  3. Step 3: Cross multiply
    71,980x = 99,332.40 × 42,172
  4. Step 4: Simplify right side
    71,980x = 4,189,045,972.80
  5. Step 5: Solve for x
    x = 4,189,045,972.80/71,980
  6. Step 6: Final answer
    x = 58,197.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.