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Finding the Fourth Proportional to 57,305, 85,990.95 and 24,022.50

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Solution

The fourth proportional to 57,305, 85,990.95 and 24,022.50 is: 36,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305 : 85,990.95 = 24,022.50 : x
  2. Step 2: Convert to fraction form
    57,305/85,990.95 = 24,022.50/x
  3. Step 3: Cross multiply
    57,305x = 85,990.95 × 24,022.50
  4. Step 4: Simplify right side
    57,305x = 2,065,717,596.38
  5. Step 5: Solve for x
    x = 2,065,717,596.38/57,305
  6. Step 6: Final answer
    x = 36,047.77

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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.