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Finding the Fourth Proportional to 56,175.32, 84,262.74 and 22,887.96

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Solution

The fourth proportional to 56,175.32, 84,262.74 and 22,887.96 is: 34,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,175.32 : 84,262.74 = 22,887.96 : x
  2. Step 2: Convert to fraction form
    56,175.32/84,262.74 = 22,887.96/x
  3. Step 3: Cross multiply
    56,175.32x = 84,262.74 × 22,887.96
  4. Step 4: Simplify right side
    56,175.32x = 1,928,602,222.61
  5. Step 5: Solve for x
    x = 1,928,602,222.61/56,175.32
  6. Step 6: Final answer
    x = 34,331.84

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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.