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Finding the Fourth Proportional to 32,450.94, 48,678.30 and 9,077.40

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Solution

The fourth proportional to 32,450.94, 48,678.30 and 9,077.40 is: 13,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.94 : 48,678.30 = 9,077.40 : x
  2. Step 2: Convert to fraction form
    32,450.94/48,678.30 = 9,077.40/x
  3. Step 3: Cross multiply
    32,450.94x = 48,678.30 × 9,077.40
  4. Step 4: Simplify right side
    32,450.94x = 441,872,400.42
  5. Step 5: Solve for x
    x = 441,872,400.42/32,450.94
  6. Step 6: Final answer
    x = 13,616.63

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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.