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Finding the Fourth Proportional to 52,553.60, 78,830.40 and 35,964.80

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Solution

The fourth proportional to 52,553.60, 78,830.40 and 35,964.80 is: 53,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,553.60 : 78,830.40 = 35,964.80 : x
  2. Step 2: Convert to fraction form
    52,553.60/78,830.40 = 35,964.80/x
  3. Step 3: Cross multiply
    52,553.60x = 78,830.40 × 35,964.80
  4. Step 4: Simplify right side
    52,553.60x = 2,835,119,569.92
  5. Step 5: Solve for x
    x = 2,835,119,569.92/52,553.60
  6. Step 6: Final answer
    x = 53,947.20

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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.