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Finding the Fourth Proportional to 32,594.16, 44,977.68 and 19,166

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Solution

The fourth proportional to 32,594.16, 44,977.68 and 19,166 is: 26,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.16 : 44,977.68 = 19,166 : x
  2. Step 2: Convert to fraction form
    32,594.16/44,977.68 = 19,166/x
  3. Step 3: Cross multiply
    32,594.16x = 44,977.68 × 19,166
  4. Step 4: Simplify right side
    32,594.16x = 862,042,214.88
  5. Step 5: Solve for x
    x = 862,042,214.88/32,594.16
  6. Step 6: Final answer
    x = 26,447.75

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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.