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Finding the Fourth Proportional to 77,408.33, 116,374.93 and 61,812.59

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Solution

The fourth proportional to 77,408.33, 116,374.93 and 61,812.59 is: 92,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408.33 : 116,374.93 = 61,812.59 : x
  2. Step 2: Convert to fraction form
    77,408.33/116,374.93 = 61,812.59/x
  3. Step 3: Cross multiply
    77,408.33x = 116,374.93 × 61,812.59
  4. Step 4: Simplify right side
    77,408.33x = 7,193,435,097.96
  5. Step 5: Solve for x
    x = 7,193,435,097.96/77,408.33
  6. Step 6: Final answer
    x = 92,928.44

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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.