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Finding the Fourth Proportional to 77,907.54, 116,769.05 and 35,752.09

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Solution

The fourth proportional to 77,907.54, 116,769.05 and 35,752.09 is: 53,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,907.54 : 116,769.05 = 35,752.09 : x
  2. Step 2: Convert to fraction form
    77,907.54/116,769.05 = 35,752.09/x
  3. Step 3: Cross multiply
    77,907.54x = 116,769.05 × 35,752.09
  4. Step 4: Simplify right side
    77,907.54x = 4,174,737,787.36
  5. Step 5: Solve for x
    x = 4,174,737,787.36/77,907.54
  6. Step 6: Final answer
    x = 53,585.80

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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.