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Finding the Fourth Proportional to 77,364.24, 106,742.67 and 45,527.16

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Solution

The fourth proportional to 77,364.24, 106,742.67 and 45,527.16 is: 62,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,364.24 : 106,742.67 = 45,527.16 : x
  2. Step 2: Convert to fraction form
    77,364.24/106,742.67 = 45,527.16/x
  3. Step 3: Cross multiply
    77,364.24x = 106,742.67 × 45,527.16
  4. Step 4: Simplify right side
    77,364.24x = 4,859,690,615.92
  5. Step 5: Solve for x
    x = 4,859,690,615.92/77,364.24
  6. Step 6: Final answer
    x = 62,815.72

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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.