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Finding the Fourth Proportional to 42,662.06, 58,876.50 and 24,757

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Solution

The fourth proportional to 42,662.06, 58,876.50 and 24,757 is: 34,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,662.06 : 58,876.50 = 24,757 : x
  2. Step 2: Convert to fraction form
    42,662.06/58,876.50 = 24,757/x
  3. Step 3: Cross multiply
    42,662.06x = 58,876.50 × 24,757
  4. Step 4: Simplify right side
    42,662.06x = 1,457,605,510.50
  5. Step 5: Solve for x
    x = 1,457,605,510.50/42,662.06
  6. Step 6: Final answer
    x = 34,166.32

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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.