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Finding the Fourth Proportional to 56,647.98, 84,966.43 and 17,205.43

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Solution

The fourth proportional to 56,647.98, 84,966.43 and 17,205.43 is: 25,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,647.98 : 84,966.43 = 17,205.43 : x
  2. Step 2: Convert to fraction form
    56,647.98/84,966.43 = 17,205.43/x
  3. Step 3: Cross multiply
    56,647.98x = 84,966.43 × 17,205.43
  4. Step 4: Simplify right side
    56,647.98x = 1,461,883,963.71
  5. Step 5: Solve for x
    x = 1,461,883,963.71/56,647.98
  6. Step 6: Final answer
    x = 25,806.46

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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.