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Finding the Fourth Proportional to 77,590.44, 116,278 and 35,367.30

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Solution

The fourth proportional to 77,590.44, 116,278 and 35,367.30 is: 53,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,590.44 : 116,278 = 35,367.30 : x
  2. Step 2: Convert to fraction form
    77,590.44/116,278 = 35,367.30/x
  3. Step 3: Cross multiply
    77,590.44x = 116,278 × 35,367.30
  4. Step 4: Simplify right side
    77,590.44x = 4,112,438,909.40
  5. Step 5: Solve for x
    x = 4,112,438,909.40/77,590.44
  6. Step 6: Final answer
    x = 53,001.88

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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.