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Finding the Fourth Proportional to 77,797.16, 107,134.16 and 67,583.52

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Solution

The fourth proportional to 77,797.16, 107,134.16 and 67,583.52 is: 93,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,797.16 : 107,134.16 = 67,583.52 : x
  2. Step 2: Convert to fraction form
    77,797.16/107,134.16 = 67,583.52/x
  3. Step 3: Cross multiply
    77,797.16x = 107,134.16 × 67,583.52
  4. Step 4: Simplify right side
    77,797.16x = 7,240,503,645.04
  5. Step 5: Solve for x
    x = 7,240,503,645.04/77,797.16
  6. Step 6: Final answer
    x = 93,069.00

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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.