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Finding the Fourth Proportional to 65,142.50, 89,896.68 and 36,847.58

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Solution

The fourth proportional to 65,142.50, 89,896.68 and 36,847.58 is: 50,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.50 : 89,896.68 = 36,847.58 : x
  2. Step 2: Convert to fraction form
    65,142.50/89,896.68 = 36,847.58/x
  3. Step 3: Cross multiply
    65,142.50x = 89,896.68 × 36,847.58
  4. Step 4: Simplify right side
    65,142.50x = 3,312,475,108.03
  5. Step 5: Solve for x
    x = 3,312,475,108.03/65,142.50
  6. Step 6: Final answer
    x = 50,849.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.