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Finding the Fourth Proportional to 51,772.54, 77,544.97 and 42,786.02

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Solution

The fourth proportional to 51,772.54, 77,544.97 and 42,786.02 is: 64,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772.54 : 77,544.97 = 42,786.02 : x
  2. Step 2: Convert to fraction form
    51,772.54/77,544.97 = 42,786.02/x
  3. Step 3: Cross multiply
    51,772.54x = 77,544.97 × 42,786.02
  4. Step 4: Simplify right side
    51,772.54x = 3,317,840,637.32
  5. Step 5: Solve for x
    x = 3,317,840,637.32/51,772.54
  6. Step 6: Final answer
    x = 64,084.95

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Why These Related Problems?

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