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Finding the Fourth Proportional to 52,111.93, 78,272.50 and 31,092.99

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Solution

The fourth proportional to 52,111.93, 78,272.50 and 31,092.99 is: 46,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.93 : 78,272.50 = 31,092.99 : x
  2. Step 2: Convert to fraction form
    52,111.93/78,272.50 = 31,092.99/x
  3. Step 3: Cross multiply
    52,111.93x = 78,272.50 × 31,092.99
  4. Step 4: Simplify right side
    52,111.93x = 2,433,726,059.78
  5. Step 5: Solve for x
    x = 2,433,726,059.78/52,111.93
  6. Step 6: Final answer
    x = 46,701.90

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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.