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Finding the Fourth Proportional to 56,198.16, 77,553.36 and 32,324.22

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Solution

The fourth proportional to 56,198.16, 77,553.36 and 32,324.22 is: 44,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,198.16 : 77,553.36 = 32,324.22 : x
  2. Step 2: Convert to fraction form
    56,198.16/77,553.36 = 32,324.22/x
  3. Step 3: Cross multiply
    56,198.16x = 77,553.36 × 32,324.22
  4. Step 4: Simplify right side
    56,198.16x = 2,506,851,870.38
  5. Step 5: Solve for x
    x = 2,506,851,870.38/56,198.16
  6. Step 6: Final answer
    x = 44,607.37

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Why These Related Problems?

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