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Finding the Fourth Proportional to 32,461.34, 44,788.86 and 18,314.24

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Solution

The fourth proportional to 32,461.34, 44,788.86 and 18,314.24 is: 25,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461.34 : 44,788.86 = 18,314.24 : x
  2. Step 2: Convert to fraction form
    32,461.34/44,788.86 = 18,314.24/x
  3. Step 3: Cross multiply
    32,461.34x = 44,788.86 × 18,314.24
  4. Step 4: Simplify right side
    32,461.34x = 820,273,707.42
  5. Step 5: Solve for x
    x = 820,273,707.42/32,461.34
  6. Step 6: Final answer
    x = 25,269.25

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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.