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Finding the Fourth Proportional to 77,668.41, 116,486.01 and 25,063.77

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Solution

The fourth proportional to 77,668.41, 116,486.01 and 25,063.77 is: 37,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668.41 : 116,486.01 = 25,063.77 : x
  2. Step 2: Convert to fraction form
    77,668.41/116,486.01 = 25,063.77/x
  3. Step 3: Cross multiply
    77,668.41x = 116,486.01 × 25,063.77
  4. Step 4: Simplify right side
    77,668.41x = 2,919,578,562.86
  5. Step 5: Solve for x
    x = 2,919,578,562.86/77,668.41
  6. Step 6: Final answer
    x = 37,590.30

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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.