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Finding the Fourth Proportional to 32,797.16, 45,259.86 and 18,650

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Solution

The fourth proportional to 32,797.16, 45,259.86 and 18,650 is: 25,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.16 : 45,259.86 = 18,650 : x
  2. Step 2: Convert to fraction form
    32,797.16/45,259.86 = 18,650/x
  3. Step 3: Cross multiply
    32,797.16x = 45,259.86 × 18,650
  4. Step 4: Simplify right side
    32,797.16x = 844,096,389
  5. Step 5: Solve for x
    x = 844,096,389/32,797.16
  6. Step 6: Final answer
    x = 25,736.87

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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.