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Finding the Fourth Proportional to 37,640.99, 51,814.16 and 32,534.16

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Solution

The fourth proportional to 37,640.99, 51,814.16 and 32,534.16 is: 44,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.99 : 51,814.16 = 32,534.16 : x
  2. Step 2: Convert to fraction form
    37,640.99/51,814.16 = 32,534.16/x
  3. Step 3: Cross multiply
    37,640.99x = 51,814.16 × 32,534.16
  4. Step 4: Simplify right side
    37,640.99x = 1,685,730,171.71
  5. Step 5: Solve for x
    x = 1,685,730,171.71/37,640.99
  6. Step 6: Final answer
    x = 44,784.43

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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.