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Finding the Fourth Proportional to 38,297.16, 52,850.70 and 23,189.64

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Solution

The fourth proportional to 38,297.16, 52,850.70 and 23,189.64 is: 32,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297.16 : 52,850.70 = 23,189.64 : x
  2. Step 2: Convert to fraction form
    38,297.16/52,850.70 = 23,189.64/x
  3. Step 3: Cross multiply
    38,297.16x = 52,850.70 × 23,189.64
  4. Step 4: Simplify right side
    38,297.16x = 1,225,588,706.75
  5. Step 5: Solve for x
    x = 1,225,588,706.75/38,297.16
  6. Step 6: Final answer
    x = 32,002.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.