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Finding the Fourth Proportional to 32,662.84, 48,994.26 and 8,038.84

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Solution

The fourth proportional to 32,662.84, 48,994.26 and 8,038.84 is: 12,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,662.84 : 48,994.26 = 8,038.84 : x
  2. Step 2: Convert to fraction form
    32,662.84/48,994.26 = 8,038.84/x
  3. Step 3: Cross multiply
    32,662.84x = 48,994.26 × 8,038.84
  4. Step 4: Simplify right side
    32,662.84x = 393,857,017.06
  5. Step 5: Solve for x
    x = 393,857,017.06/32,662.84
  6. Step 6: Final answer
    x = 12,058.26

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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.