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Finding the Fourth Proportional to 77,438.68, 106,898 and 52,322.20

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Solution

The fourth proportional to 77,438.68, 106,898 and 52,322.20 is: 72,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,438.68 : 106,898 = 52,322.20 : x
  2. Step 2: Convert to fraction form
    77,438.68/106,898 = 52,322.20/x
  3. Step 3: Cross multiply
    77,438.68x = 106,898 × 52,322.20
  4. Step 4: Simplify right side
    77,438.68x = 5,593,138,535.60
  5. Step 5: Solve for x
    x = 5,593,138,535.60/77,438.68
  6. Step 6: Final answer
    x = 72,226.68

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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.