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Finding the Fourth Proportional to 78,585.96, 117,835.86 and 31,153

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Solution

The fourth proportional to 78,585.96, 117,835.86 and 31,153 is: 46,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.96 : 117,835.86 = 31,153 : x
  2. Step 2: Convert to fraction form
    78,585.96/117,835.86 = 31,153/x
  3. Step 3: Cross multiply
    78,585.96x = 117,835.86 × 31,153
  4. Step 4: Simplify right side
    78,585.96x = 3,670,940,546.58
  5. Step 5: Solve for x
    x = 3,670,940,546.58/78,585.96
  6. Step 6: Final answer
    x = 46,712.42

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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.