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Finding the Fourth Proportional to 55,101.60, 82,652.40 and 28,814.40

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Solution

The fourth proportional to 55,101.60, 82,652.40 and 28,814.40 is: 43,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,101.60 : 82,652.40 = 28,814.40 : x
  2. Step 2: Convert to fraction form
    55,101.60/82,652.40 = 28,814.40/x
  3. Step 3: Cross multiply
    55,101.60x = 82,652.40 × 28,814.40
  4. Step 4: Simplify right side
    55,101.60x = 2,381,579,314.56
  5. Step 5: Solve for x
    x = 2,381,579,314.56/55,101.60
  6. Step 6: Final answer
    x = 43,221.60

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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.