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Finding the Fourth Proportional to 32,767.58, 45,206.43 and 20,170.46

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Solution

The fourth proportional to 32,767.58, 45,206.43 and 20,170.46 is: 27,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.58 : 45,206.43 = 20,170.46 : x
  2. Step 2: Convert to fraction form
    32,767.58/45,206.43 = 20,170.46/x
  3. Step 3: Cross multiply
    32,767.58x = 45,206.43 × 20,170.46
  4. Step 4: Simplify right side
    32,767.58x = 911,834,488.06
  5. Step 5: Solve for x
    x = 911,834,488.06/32,767.58
  6. Step 6: Final answer
    x = 27,827.34

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