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Finding the Fourth Proportional to 55,875.70, 83,817.60 and 33,641.20

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Solution

The fourth proportional to 55,875.70, 83,817.60 and 33,641.20 is: 50,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,875.70 : 83,817.60 = 33,641.20 : x
  2. Step 2: Convert to fraction form
    55,875.70/83,817.60 = 33,641.20/x
  3. Step 3: Cross multiply
    55,875.70x = 83,817.60 × 33,641.20
  4. Step 4: Simplify right side
    55,875.70x = 2,819,724,645.12
  5. Step 5: Solve for x
    x = 2,819,724,645.12/55,875.70
  6. Step 6: Final answer
    x = 50,464.24

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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.