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Finding the Fourth Proportional to 32,854.41, 45,323.28 and 21,519

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Solution

The fourth proportional to 32,854.41, 45,323.28 and 21,519 is: 29,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.41 : 45,323.28 = 21,519 : x
  2. Step 2: Convert to fraction form
    32,854.41/45,323.28 = 21,519/x
  3. Step 3: Cross multiply
    32,854.41x = 45,323.28 × 21,519
  4. Step 4: Simplify right side
    32,854.41x = 975,311,662.32
  5. Step 5: Solve for x
    x = 975,311,662.32/32,854.41
  6. Step 6: Final answer
    x = 29,685.87

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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.