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Finding the Fourth Proportional to 42,032.56, 58,004.88 and 23,170

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Solution

The fourth proportional to 42,032.56, 58,004.88 and 23,170 is: 31,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,032.56 : 58,004.88 = 23,170 : x
  2. Step 2: Convert to fraction form
    42,032.56/58,004.88 = 23,170/x
  3. Step 3: Cross multiply
    42,032.56x = 58,004.88 × 23,170
  4. Step 4: Simplify right side
    42,032.56x = 1,343,973,069.60
  5. Step 5: Solve for x
    x = 1,343,973,069.60/42,032.56
  6. Step 6: Final answer
    x = 31,974.57

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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.