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Finding the Fourth Proportional to 47,109.27, 70,649.84 and 15,513.50

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Solution

The fourth proportional to 47,109.27, 70,649.84 and 15,513.50 is: 23,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,109.27 : 70,649.84 = 15,513.50 : x
  2. Step 2: Convert to fraction form
    47,109.27/70,649.84 = 15,513.50/x
  3. Step 3: Cross multiply
    47,109.27x = 70,649.84 × 15,513.50
  4. Step 4: Simplify right side
    47,109.27x = 1,096,026,292.84
  5. Step 5: Solve for x
    x = 1,096,026,292.84/47,109.27
  6. Step 6: Final answer
    x = 23,265.62

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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.