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Finding the Fourth Proportional to 42,632.30, 58,830.74 and 23,769.26

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Solution

The fourth proportional to 42,632.30, 58,830.74 and 23,769.26 is: 32,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,632.30 : 58,830.74 = 23,769.26 : x
  2. Step 2: Convert to fraction form
    42,632.30/58,830.74 = 23,769.26/x
  3. Step 3: Cross multiply
    42,632.30x = 58,830.74 × 23,769.26
  4. Step 4: Simplify right side
    42,632.30x = 1,398,363,155.05
  5. Step 5: Solve for x
    x = 1,398,363,155.05/42,632.30
  6. Step 6: Final answer
    x = 32,800.56

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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.