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Finding the Fourth Proportional to 55,203.40, 82,763.88 and 17,742.10

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Solution

The fourth proportional to 55,203.40, 82,763.88 and 17,742.10 is: 26,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203.40 : 82,763.88 = 17,742.10 : x
  2. Step 2: Convert to fraction form
    55,203.40/82,763.88 = 17,742.10/x
  3. Step 3: Cross multiply
    55,203.40x = 82,763.88 × 17,742.10
  4. Step 4: Simplify right side
    55,203.40x = 1,468,405,035.35
  5. Step 5: Solve for x
    x = 1,468,405,035.35/55,203.40
  6. Step 6: Final answer
    x = 26,599.90

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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.