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Finding the Fourth Proportional to 77,898.08, 116,800.42 and 35,725.34

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Solution

The fourth proportional to 77,898.08, 116,800.42 and 35,725.34 is: 53,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,898.08 : 116,800.42 = 35,725.34 : x
  2. Step 2: Convert to fraction form
    77,898.08/116,800.42 = 35,725.34/x
  3. Step 3: Cross multiply
    77,898.08x = 116,800.42 × 35,725.34
  4. Step 4: Simplify right side
    77,898.08x = 4,172,734,716.64
  5. Step 5: Solve for x
    x = 4,172,734,716.64/77,898.08
  6. Step 6: Final answer
    x = 53,566.59

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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.