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Finding the Fourth Proportional to 57,268.72, 85,742.80 and 43,184.67

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Solution

The fourth proportional to 57,268.72, 85,742.80 and 43,184.67 is: 64,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,268.72 : 85,742.80 = 43,184.67 : x
  2. Step 2: Convert to fraction form
    57,268.72/85,742.80 = 43,184.67/x
  3. Step 3: Cross multiply
    57,268.72x = 85,742.80 × 43,184.67
  4. Step 4: Simplify right side
    57,268.72x = 3,702,773,986.20
  5. Step 5: Solve for x
    x = 3,702,773,986.20/57,268.72
  6. Step 6: Final answer
    x = 64,656.14

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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.