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Finding the Fourth Proportional to 32,635.50, 45,036.99 and 17,731.50

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Solution

The fourth proportional to 32,635.50, 45,036.99 and 17,731.50 is: 24,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,635.50 : 45,036.99 = 17,731.50 : x
  2. Step 2: Convert to fraction form
    32,635.50/45,036.99 = 17,731.50/x
  3. Step 3: Cross multiply
    32,635.50x = 45,036.99 × 17,731.50
  4. Step 4: Simplify right side
    32,635.50x = 798,573,388.19
  5. Step 5: Solve for x
    x = 798,573,388.19/32,635.50
  6. Step 6: Final answer
    x = 24,469.47

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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.