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Finding the Fourth Proportional to 103,462.13, 155,052.86 and 47,232.54

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Solution

The fourth proportional to 103,462.13, 155,052.86 and 47,232.54 is: 70,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,462.13 : 155,052.86 = 47,232.54 : x
  2. Step 2: Convert to fraction form
    103,462.13/155,052.86 = 47,232.54/x
  3. Step 3: Cross multiply
    103,462.13x = 155,052.86 × 47,232.54
  4. Step 4: Simplify right side
    103,462.13x = 7,323,540,175.90
  5. Step 5: Solve for x
    x = 7,323,540,175.90/103,462.13
  6. Step 6: Final answer
    x = 70,784.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.