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Finding the Fourth Proportional to 41,430.42, 57,174.54 and 22,567.50

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Solution

The fourth proportional to 41,430.42, 57,174.54 and 22,567.50 is: 31,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,430.42 : 57,174.54 = 22,567.50 : x
  2. Step 2: Convert to fraction form
    41,430.42/57,174.54 = 22,567.50/x
  3. Step 3: Cross multiply
    41,430.42x = 57,174.54 × 22,567.50
  4. Step 4: Simplify right side
    41,430.42x = 1,290,286,431.45
  5. Step 5: Solve for x
    x = 1,290,286,431.45/41,430.42
  6. Step 6: Final answer
    x = 31,143.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.