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Finding the Fourth Proportional to 77,833.50, 116,728.98 and 27,904.32

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Solution

The fourth proportional to 77,833.50, 116,728.98 and 27,904.32 is: 41,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,833.50 : 116,728.98 = 27,904.32 : x
  2. Step 2: Convert to fraction form
    77,833.50/116,728.98 = 27,904.32/x
  3. Step 3: Cross multiply
    77,833.50x = 116,728.98 × 27,904.32
  4. Step 4: Simplify right side
    77,833.50x = 3,257,242,811.19
  5. Step 5: Solve for x
    x = 3,257,242,811.19/77,833.50
  6. Step 6: Final answer
    x = 41,848.85

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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.