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Finding the Fourth Proportional to 42,219.72, 58,267.20 and 25,224

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Solution

The fourth proportional to 42,219.72, 58,267.20 and 25,224 is: 34,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219.72 : 58,267.20 = 25,224 : x
  2. Step 2: Convert to fraction form
    42,219.72/58,267.20 = 25,224/x
  3. Step 3: Cross multiply
    42,219.72x = 58,267.20 × 25,224
  4. Step 4: Simplify right side
    42,219.72x = 1,469,731,852.80
  5. Step 5: Solve for x
    x = 1,469,731,852.80/42,219.72
  6. Step 6: Final answer
    x = 34,811.50

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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.