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Finding the Fourth Proportional to 56,651.17, 78,188.40 and 32,791

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Solution

The fourth proportional to 56,651.17, 78,188.40 and 32,791 is: 45,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,651.17 : 78,188.40 = 32,791 : x
  2. Step 2: Convert to fraction form
    56,651.17/78,188.40 = 32,791/x
  3. Step 3: Cross multiply
    56,651.17x = 78,188.40 × 32,791
  4. Step 4: Simplify right side
    56,651.17x = 2,563,875,824.40
  5. Step 5: Solve for x
    x = 2,563,875,824.40/56,651.17
  6. Step 6: Final answer
    x = 45,257.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.