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Finding the Fourth Proportional to 32,853.69, 45,322.24 and 21,518.20

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Solution

The fourth proportional to 32,853.69, 45,322.24 and 21,518.20 is: 29,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.69 : 45,322.24 = 21,518.20 : x
  2. Step 2: Convert to fraction form
    32,853.69/45,322.24 = 21,518.20/x
  3. Step 3: Cross multiply
    32,853.69x = 45,322.24 × 21,518.20
  4. Step 4: Simplify right side
    32,853.69x = 975,253,024.77
  5. Step 5: Solve for x
    x = 975,253,024.77/32,853.69
  6. Step 6: Final answer
    x = 29,684.73

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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.