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Finding the Fourth Proportional to 52,684.83, 78,946.45 and 35,796.33

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Solution

The fourth proportional to 52,684.83, 78,946.45 and 35,796.33 is: 53,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,684.83 : 78,946.45 = 35,796.33 : x
  2. Step 2: Convert to fraction form
    52,684.83/78,946.45 = 35,796.33/x
  3. Step 3: Cross multiply
    52,684.83x = 78,946.45 × 35,796.33
  4. Step 4: Simplify right side
    52,684.83x = 2,825,993,087.04
  5. Step 5: Solve for x
    x = 2,825,993,087.04/52,684.83
  6. Step 6: Final answer
    x = 53,639.60

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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.