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Finding the Fourth Proportional to 47,306, 65,214.42 and 37,216.92

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Solution

The fourth proportional to 47,306, 65,214.42 and 37,216.92 is: 51,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,306 : 65,214.42 = 37,216.92 : x
  2. Step 2: Convert to fraction form
    47,306/65,214.42 = 37,216.92/x
  3. Step 3: Cross multiply
    47,306x = 65,214.42 × 37,216.92
  4. Step 4: Simplify right side
    47,306x = 2,427,079,851.99
  5. Step 5: Solve for x
    x = 2,427,079,851.99/47,306
  6. Step 6: Final answer
    x = 51,305.96

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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.