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Finding the Fourth Proportional to 34,650.54, 47,817.68 and 19,543.16

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Solution

The fourth proportional to 34,650.54, 47,817.68 and 19,543.16 is: 26,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,650.54 : 47,817.68 = 19,543.16 : x
  2. Step 2: Convert to fraction form
    34,650.54/47,817.68 = 19,543.16/x
  3. Step 3: Cross multiply
    34,650.54x = 47,817.68 × 19,543.16
  4. Step 4: Simplify right side
    34,650.54x = 934,508,500.38
  5. Step 5: Solve for x
    x = 934,508,500.38/34,650.54
  6. Step 6: Final answer
    x = 26,969.52

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Why These Related Problems?

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