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Finding the Fourth Proportional to 57,582.50, 86,124.06 and 33,833.50

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Solution

The fourth proportional to 57,582.50, 86,124.06 and 33,833.50 is: 50,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.50 : 86,124.06 = 33,833.50 : x
  2. Step 2: Convert to fraction form
    57,582.50/86,124.06 = 33,833.50/x
  3. Step 3: Cross multiply
    57,582.50x = 86,124.06 × 33,833.50
  4. Step 4: Simplify right side
    57,582.50x = 2,913,878,168.70
  5. Step 5: Solve for x
    x = 2,913,878,168.70/57,582.50
  6. Step 6: Final answer
    x = 50,603.54

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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.