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Finding the Fourth Proportional to 47,242, 70,866.24 and 15,652

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Solution

The fourth proportional to 47,242, 70,866.24 and 15,652 is: 23,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,242 : 70,866.24 = 15,652 : x
  2. Step 2: Convert to fraction form
    47,242/70,866.24 = 15,652/x
  3. Step 3: Cross multiply
    47,242x = 70,866.24 × 15,652
  4. Step 4: Simplify right side
    47,242x = 1,109,198,388.48
  5. Step 5: Solve for x
    x = 1,109,198,388.48/47,242
  6. Step 6: Final answer
    x = 23,479.07

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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.