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Finding the Fourth Proportional to 32,405.91, 48,612.96 and 9,032.34

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Solution

The fourth proportional to 32,405.91, 48,612.96 and 9,032.34 is: 13,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.91 : 48,612.96 = 9,032.34 : x
  2. Step 2: Convert to fraction form
    32,405.91/48,612.96 = 9,032.34/x
  3. Step 3: Cross multiply
    32,405.91x = 48,612.96 × 9,032.34
  4. Step 4: Simplify right side
    32,405.91x = 439,088,965.43
  5. Step 5: Solve for x
    x = 439,088,965.43/32,405.91
  6. Step 6: Final answer
    x = 13,549.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.