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Finding the Fourth Proportional to 32,318.54, 48,496.54 and 13,597.10

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Solution

The fourth proportional to 32,318.54, 48,496.54 and 13,597.10 is: 20,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,318.54 : 48,496.54 = 13,597.10 : x
  2. Step 2: Convert to fraction form
    32,318.54/48,496.54 = 13,597.10/x
  3. Step 3: Cross multiply
    32,318.54x = 48,496.54 × 13,597.10
  4. Step 4: Simplify right side
    32,318.54x = 659,412,304.03
  5. Step 5: Solve for x
    x = 659,412,304.03/32,318.54
  6. Step 6: Final answer
    x = 20,403.53

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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.