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Finding the Fourth Proportional to 78,653.12, 117,914.38 and 31,238.96

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Solution

The fourth proportional to 78,653.12, 117,914.38 and 31,238.96 is: 46,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,653.12 : 117,914.38 = 31,238.96 : x
  2. Step 2: Convert to fraction form
    78,653.12/117,914.38 = 31,238.96/x
  3. Step 3: Cross multiply
    78,653.12x = 117,914.38 × 31,238.96
  4. Step 4: Simplify right side
    78,653.12x = 3,683,522,444.05
  5. Step 5: Solve for x
    x = 3,683,522,444.05/78,653.12
  6. Step 6: Final answer
    x = 46,832.50

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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.