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Finding the Fourth Proportional to 34,650.47, 47,817.10 and 19,543.16

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Solution

The fourth proportional to 34,650.47, 47,817.10 and 19,543.16 is: 26,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,650.47 : 47,817.10 = 19,543.16 : x
  2. Step 2: Convert to fraction form
    34,650.47/47,817.10 = 19,543.16/x
  3. Step 3: Cross multiply
    34,650.47x = 47,817.10 × 19,543.16
  4. Step 4: Simplify right side
    34,650.47x = 934,497,380.01
  5. Step 5: Solve for x
    x = 934,497,380.01/34,650.47
  6. Step 6: Final answer
    x = 26,969.25

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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.