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Finding the Fourth Proportional to 52,559.82, 78,794.70 and 22,955.94

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Solution

The fourth proportional to 52,559.82, 78,794.70 and 22,955.94 is: 34,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,559.82 : 78,794.70 = 22,955.94 : x
  2. Step 2: Convert to fraction form
    52,559.82/78,794.70 = 22,955.94/x
  3. Step 3: Cross multiply
    52,559.82x = 78,794.70 × 22,955.94
  4. Step 4: Simplify right side
    52,559.82x = 1,808,806,405.52
  5. Step 5: Solve for x
    x = 1,808,806,405.52/52,559.82
  6. Step 6: Final answer
    x = 34,414.24

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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.