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Finding the Fourth Proportional to 32,100.58, 44,294.61 and 17,956

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Solution

The fourth proportional to 32,100.58, 44,294.61 and 17,956 is: 24,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100.58 : 44,294.61 = 17,956 : x
  2. Step 2: Convert to fraction form
    32,100.58/44,294.61 = 17,956/x
  3. Step 3: Cross multiply
    32,100.58x = 44,294.61 × 17,956
  4. Step 4: Simplify right side
    32,100.58x = 795,354,017.16
  5. Step 5: Solve for x
    x = 795,354,017.16/32,100.58
  6. Step 6: Final answer
    x = 24,776.94

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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.