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Finding the Fourth Proportional to 42,105.51, 58,105.49 and 23,242.50

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Solution

The fourth proportional to 42,105.51, 58,105.49 and 23,242.50 is: 32,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.51 : 58,105.49 = 23,242.50 : x
  2. Step 2: Convert to fraction form
    42,105.51/58,105.49 = 23,242.50/x
  3. Step 3: Cross multiply
    42,105.51x = 58,105.49 × 23,242.50
  4. Step 4: Simplify right side
    42,105.51x = 1,350,516,735.11
  5. Step 5: Solve for x
    x = 1,350,516,735.11/42,105.51
  6. Step 6: Final answer
    x = 32,074.58

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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.