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Finding the Fourth Proportional to 42,563.20, 58,738.08 and 24,664

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Solution

The fourth proportional to 42,563.20, 58,738.08 and 24,664 is: 34,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,563.20 : 58,738.08 = 24,664 : x
  2. Step 2: Convert to fraction form
    42,563.20/58,738.08 = 24,664/x
  3. Step 3: Cross multiply
    42,563.20x = 58,738.08 × 24,664
  4. Step 4: Simplify right side
    42,563.20x = 1,448,716,005.12
  5. Step 5: Solve for x
    x = 1,448,716,005.12/42,563.20
  6. Step 6: Final answer
    x = 34,036.82

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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.