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Finding the Fourth Proportional to 56,219.67, 77,583.22 and 31,069.17

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Solution

The fourth proportional to 56,219.67, 77,583.22 and 31,069.17 is: 42,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,219.67 : 77,583.22 = 31,069.17 : x
  2. Step 2: Convert to fraction form
    56,219.67/77,583.22 = 31,069.17/x
  3. Step 3: Cross multiply
    56,219.67x = 77,583.22 × 31,069.17
  4. Step 4: Simplify right side
    56,219.67x = 2,410,446,173.65
  5. Step 5: Solve for x
    x = 2,410,446,173.65/56,219.67
  6. Step 6: Final answer
    x = 42,875.49

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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.