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Finding the Fourth Proportional to 56,442, 84,663.54 and 16,998.24

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Solution

The fourth proportional to 56,442, 84,663.54 and 16,998.24 is: 25,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442 : 84,663.54 = 16,998.24 : x
  2. Step 2: Convert to fraction form
    56,442/84,663.54 = 16,998.24/x
  3. Step 3: Cross multiply
    56,442x = 84,663.54 × 16,998.24
  4. Step 4: Simplify right side
    56,442x = 1,439,131,172.17
  5. Step 5: Solve for x
    x = 1,439,131,172.17/56,442
  6. Step 6: Final answer
    x = 25,497.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.