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Finding the Fourth Proportional to 32,356.49, 48,548.85 and 11,311.63

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Solution

The fourth proportional to 32,356.49, 48,548.85 and 11,311.63 is: 16,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,356.49 : 48,548.85 = 11,311.63 : x
  2. Step 2: Convert to fraction form
    32,356.49/48,548.85 = 11,311.63/x
  3. Step 3: Cross multiply
    32,356.49x = 48,548.85 × 11,311.63
  4. Step 4: Simplify right side
    32,356.49x = 549,166,506.75
  5. Step 5: Solve for x
    x = 549,166,506.75/32,356.49
  6. Step 6: Final answer
    x = 16,972.38

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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.