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Finding the Fourth Proportional to 39,828.68, 59,806.50 and 23,200.80

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Solution

The fourth proportional to 39,828.68, 59,806.50 and 23,200.80 is: 34,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,828.68 : 59,806.50 = 23,200.80 : x
  2. Step 2: Convert to fraction form
    39,828.68/59,806.50 = 23,200.80/x
  3. Step 3: Cross multiply
    39,828.68x = 59,806.50 × 23,200.80
  4. Step 4: Simplify right side
    39,828.68x = 1,387,558,333.92
  5. Step 5: Solve for x
    x = 1,387,558,333.92/39,828.68
  6. Step 6: Final answer
    x = 34,838.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.