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Finding the Fourth Proportional to 32,649, 45,055.98 and 17,745

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Solution

The fourth proportional to 32,649, 45,055.98 and 17,745 is: 24,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649 : 45,055.98 = 17,745 : x
  2. Step 2: Convert to fraction form
    32,649/45,055.98 = 17,745/x
  3. Step 3: Cross multiply
    32,649x = 45,055.98 × 17,745
  4. Step 4: Simplify right side
    32,649x = 799,518,365.10
  5. Step 5: Solve for x
    x = 799,518,365.10/32,649
  6. Step 6: Final answer
    x = 24,488.30

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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.