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Finding the Fourth Proportional to 55,297.98, 82,946.95 and 13,744.98

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Solution

The fourth proportional to 55,297.98, 82,946.95 and 13,744.98 is: 20,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,297.98 : 82,946.95 = 13,744.98 : x
  2. Step 2: Convert to fraction form
    55,297.98/82,946.95 = 13,744.98/x
  3. Step 3: Cross multiply
    55,297.98x = 82,946.95 × 13,744.98
  4. Step 4: Simplify right side
    55,297.98x = 1,140,104,134.45
  5. Step 5: Solve for x
    x = 1,140,104,134.45/55,297.98
  6. Step 6: Final answer
    x = 20,617.46

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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.