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Finding the Fourth Proportional to 57,155.68, 85,724.88 and 22,090.96

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Solution

The fourth proportional to 57,155.68, 85,724.88 and 22,090.96 is: 33,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,155.68 : 85,724.88 = 22,090.96 : x
  2. Step 2: Convert to fraction form
    57,155.68/85,724.88 = 22,090.96/x
  3. Step 3: Cross multiply
    57,155.68x = 85,724.88 × 22,090.96
  4. Step 4: Simplify right side
    57,155.68x = 1,893,744,895.08
  5. Step 5: Solve for x
    x = 1,893,744,895.08/57,155.68
  6. Step 6: Final answer
    x = 33,133.10

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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.