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Finding the Fourth Proportional to 32,102.84, 44,298.34 and 17,955.40

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Solution

The fourth proportional to 32,102.84, 44,298.34 and 17,955.40 is: 24,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.84 : 44,298.34 = 17,955.40 : x
  2. Step 2: Convert to fraction form
    32,102.84/44,298.34 = 17,955.40/x
  3. Step 3: Cross multiply
    32,102.84x = 44,298.34 × 17,955.40
  4. Step 4: Simplify right side
    32,102.84x = 795,394,414.04
  5. Step 5: Solve for x
    x = 795,394,414.04/32,102.84
  6. Step 6: Final answer
    x = 24,776.45

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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.