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Finding the Fourth Proportional to 32,300.10, 48,435.48 and 11,524.14

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Solution

The fourth proportional to 32,300.10, 48,435.48 and 11,524.14 is: 17,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,300.10 : 48,435.48 = 11,524.14 : x
  2. Step 2: Convert to fraction form
    32,300.10/48,435.48 = 11,524.14/x
  3. Step 3: Cross multiply
    32,300.10x = 48,435.48 × 11,524.14
  4. Step 4: Simplify right side
    32,300.10x = 558,177,252.49
  5. Step 5: Solve for x
    x = 558,177,252.49/32,300.10
  6. Step 6: Final answer
    x = 17,280.98

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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.