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Finding the Fourth Proportional to 57,294.15, 85,788 and 33,582.21

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Solution

The fourth proportional to 57,294.15, 85,788 and 33,582.21 is: 50,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294.15 : 85,788 = 33,582.21 : x
  2. Step 2: Convert to fraction form
    57,294.15/85,788 = 33,582.21/x
  3. Step 3: Cross multiply
    57,294.15x = 85,788 × 33,582.21
  4. Step 4: Simplify right side
    57,294.15x = 2,880,950,631.48
  5. Step 5: Solve for x
    x = 2,880,950,631.48/57,294.15
  6. Step 6: Final answer
    x = 50,283.50

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1.5x scale

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.