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Finding the Fourth Proportional to 77,639.53, 107,175.81 and 53,474.40

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Solution

The fourth proportional to 77,639.53, 107,175.81 and 53,474.40 is: 73,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,639.53 : 107,175.81 = 53,474.40 : x
  2. Step 2: Convert to fraction form
    77,639.53/107,175.81 = 53,474.40/x
  3. Step 3: Cross multiply
    77,639.53x = 107,175.81 × 53,474.40
  4. Step 4: Simplify right side
    77,639.53x = 5,731,161,598.38
  5. Step 5: Solve for x
    x = 5,731,161,598.38/77,639.53
  6. Step 6: Final answer
    x = 73,817.57

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Why These Related Problems?

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