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Finding the Fourth Proportional to 41,430, 57,173.52 and 22,567.16

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Solution

The fourth proportional to 41,430, 57,173.52 and 22,567.16 is: 31,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,430 : 57,173.52 = 22,567.16 : x
  2. Step 2: Convert to fraction form
    41,430/57,173.52 = 22,567.16/x
  3. Step 3: Cross multiply
    41,430x = 57,173.52 × 22,567.16
  4. Step 4: Simplify right side
    41,430x = 1,290,243,973.60
  5. Step 5: Solve for x
    x = 1,290,243,973.60/41,430
  6. Step 6: Final answer
    x = 31,142.75

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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.