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Finding the Fourth Proportional to 42,165, 58,188.51 and 23,301.72

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Solution

The fourth proportional to 42,165, 58,188.51 and 23,301.72 is: 32,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,165 : 58,188.51 = 23,301.72 : x
  2. Step 2: Convert to fraction form
    42,165/58,188.51 = 23,301.72/x
  3. Step 3: Cross multiply
    42,165x = 58,188.51 × 23,301.72
  4. Step 4: Simplify right side
    42,165x = 1,355,892,367.24
  5. Step 5: Solve for x
    x = 1,355,892,367.24/42,165
  6. Step 6: Final answer
    x = 32,156.82

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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.