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Finding the Fourth Proportional to 52,086.79, 78,133.83 and 25,784.47

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Solution

The fourth proportional to 52,086.79, 78,133.83 and 25,784.47 is: 38,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,086.79 : 78,133.83 = 25,784.47 : x
  2. Step 2: Convert to fraction form
    52,086.79/78,133.83 = 25,784.47/x
  3. Step 3: Cross multiply
    52,086.79x = 78,133.83 × 25,784.47
  4. Step 4: Simplify right side
    52,086.79x = 2,014,639,395.62
  5. Step 5: Solve for x
    x = 2,014,639,395.62/52,086.79
  6. Step 6: Final answer
    x = 38,678.51

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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.