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Finding the Fourth Proportional to 100,524.64, 150,557.28 and 47,971.02

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Solution

The fourth proportional to 100,524.64, 150,557.28 and 47,971.02 is: 71,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,524.64 : 150,557.28 = 47,971.02 : x
  2. Step 2: Convert to fraction form
    100,524.64/150,557.28 = 47,971.02/x
  3. Step 3: Cross multiply
    100,524.64x = 150,557.28 × 47,971.02
  4. Step 4: Simplify right side
    100,524.64x = 7,222,386,290.03
  5. Step 5: Solve for x
    x = 7,222,386,290.03/100,524.64
  6. Step 6: Final answer
    x = 71,846.93

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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.