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Finding the Fourth Proportional to 57,833.60, 86,750.40 and 57,219.20

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Solution

The fourth proportional to 57,833.60, 86,750.40 and 57,219.20 is: 85,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,833.60 : 86,750.40 = 57,219.20 : x
  2. Step 2: Convert to fraction form
    57,833.60/86,750.40 = 57,219.20/x
  3. Step 3: Cross multiply
    57,833.60x = 86,750.40 × 57,219.20
  4. Step 4: Simplify right side
    57,833.60x = 4,963,788,487.68
  5. Step 5: Solve for x
    x = 4,963,788,487.68/57,833.60
  6. Step 6: Final answer
    x = 85,828.80

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Why These Related Problems?

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