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Finding the Fourth Proportional to 77,477.25, 116,235.32 and 22,073.25

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Solution

The fourth proportional to 77,477.25, 116,235.32 and 22,073.25 is: 33,115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.25 : 116,235.32 = 22,073.25 : x
  2. Step 2: Convert to fraction form
    77,477.25/116,235.32 = 22,073.25/x
  3. Step 3: Cross multiply
    77,477.25x = 116,235.32 × 22,073.25
  4. Step 4: Simplify right side
    77,477.25x = 2,565,691,166.82
  5. Step 5: Solve for x
    x = 2,565,691,166.82/77,477.25
  6. Step 6: Final answer
    x = 33,115.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.