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Finding the Fourth Proportional to 77,663.60, 116,421.59 and 49,504.61

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Solution

The fourth proportional to 77,663.60, 116,421.59 and 49,504.61 is: 74,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,663.60 : 116,421.59 = 49,504.61 : x
  2. Step 2: Convert to fraction form
    77,663.60/116,421.59 = 49,504.61/x
  3. Step 3: Cross multiply
    77,663.60x = 116,421.59 × 49,504.61
  4. Step 4: Simplify right side
    77,663.60x = 5,763,405,452.06
  5. Step 5: Solve for x
    x = 5,763,405,452.06/77,663.60
  6. Step 6: Final answer
    x = 74,209.86

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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.