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Finding the Fourth Proportional to 34,026, 47,000.48 and 23,397.16

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Solution

The fourth proportional to 34,026, 47,000.48 and 23,397.16 is: 32,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,026 : 47,000.48 = 23,397.16 : x
  2. Step 2: Convert to fraction form
    34,026/47,000.48 = 23,397.16/x
  3. Step 3: Cross multiply
    34,026x = 47,000.48 × 23,397.16
  4. Step 4: Simplify right side
    34,026x = 1,099,677,750.64
  5. Step 5: Solve for x
    x = 1,099,677,750.64/34,026
  6. Step 6: Final answer
    x = 32,318.75

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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.