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Finding the Fourth Proportional to 73,858.50, 110,695.32 and 31,688.82

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Solution

The fourth proportional to 73,858.50, 110,695.32 and 31,688.82 is: 47,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,858.50 : 110,695.32 = 31,688.82 : x
  2. Step 2: Convert to fraction form
    73,858.50/110,695.32 = 31,688.82/x
  3. Step 3: Cross multiply
    73,858.50x = 110,695.32 × 31,688.82
  4. Step 4: Simplify right side
    73,858.50x = 3,507,804,070.32
  5. Step 5: Solve for x
    x = 3,507,804,070.32/73,858.50
  6. Step 6: Final answer
    x = 47,493.57

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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.