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Finding the Fourth Proportional to 42,289.48, 58,356.54 and 23,425

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Solution

The fourth proportional to 42,289.48, 58,356.54 and 23,425 is: 32,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,289.48 : 58,356.54 = 23,425 : x
  2. Step 2: Convert to fraction form
    42,289.48/58,356.54 = 23,425/x
  3. Step 3: Cross multiply
    42,289.48x = 58,356.54 × 23,425
  4. Step 4: Simplify right side
    42,289.48x = 1,367,001,949.50
  5. Step 5: Solve for x
    x = 1,367,001,949.50/42,289.48
  6. Step 6: Final answer
    x = 32,324.87

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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.