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Finding the Fourth Proportional to 41,430.56, 57,174.80 and 22,567.68

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Solution

The fourth proportional to 41,430.56, 57,174.80 and 22,567.68 is: 31,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,430.56 : 57,174.80 = 22,567.68 : x
  2. Step 2: Convert to fraction form
    41,430.56/57,174.80 = 22,567.68/x
  3. Step 3: Cross multiply
    41,430.56x = 57,174.80 × 22,567.68
  4. Step 4: Simplify right side
    41,430.56x = 1,290,302,477.63
  5. Step 5: Solve for x
    x = 1,290,302,477.63/41,430.56
  6. Step 6: Final answer
    x = 31,143.74

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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.