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Finding the Fourth Proportional to 57,295.50, 85,977.81 and 24,463.50

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Solution

The fourth proportional to 57,295.50, 85,977.81 and 24,463.50 is: 36,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.50 : 85,977.81 = 24,463.50 : x
  2. Step 2: Convert to fraction form
    57,295.50/85,977.81 = 24,463.50/x
  3. Step 3: Cross multiply
    57,295.50x = 85,977.81 × 24,463.50
  4. Step 4: Simplify right side
    57,295.50x = 2,103,318,154.94
  5. Step 5: Solve for x
    x = 2,103,318,154.94/57,295.50
  6. Step 6: Final answer
    x = 36,710.01

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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.