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Finding the Fourth Proportional to 55,302.60, 82,954.20 and 13,749.60

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Solution

The fourth proportional to 55,302.60, 82,954.20 and 13,749.60 is: 20,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302.60 : 82,954.20 = 13,749.60 : x
  2. Step 2: Convert to fraction form
    55,302.60/82,954.20 = 13,749.60/x
  3. Step 3: Cross multiply
    55,302.60x = 82,954.20 × 13,749.60
  4. Step 4: Simplify right side
    55,302.60x = 1,140,587,068.32
  5. Step 5: Solve for x
    x = 1,140,587,068.32/55,302.60
  6. Step 6: Final answer
    x = 20,624.47

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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.