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Finding the Fourth Proportional to 56,593, 84,889.50 and 31,970.92

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Solution

The fourth proportional to 56,593, 84,889.50 and 31,970.92 is: 47,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,593 : 84,889.50 = 31,970.92 : x
  2. Step 2: Convert to fraction form
    56,593/84,889.50 = 31,970.92/x
  3. Step 3: Cross multiply
    56,593x = 84,889.50 × 31,970.92
  4. Step 4: Simplify right side
    56,593x = 2,713,995,413.34
  5. Step 5: Solve for x
    x = 2,713,995,413.34/56,593
  6. Step 6: Final answer
    x = 47,956.38

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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.