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Finding the Fourth Proportional to 72,860.72, 109,269.48 and 31,298

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Solution

The fourth proportional to 72,860.72, 109,269.48 and 31,298 is: 46,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,860.72 : 109,269.48 = 31,298 : x
  2. Step 2: Convert to fraction form
    72,860.72/109,269.48 = 31,298/x
  3. Step 3: Cross multiply
    72,860.72x = 109,269.48 × 31,298
  4. Step 4: Simplify right side
    72,860.72x = 3,419,916,185.04
  5. Step 5: Solve for x
    x = 3,419,916,185.04/72,860.72
  6. Step 6: Final answer
    x = 46,937.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.