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Finding the Fourth Proportional to 101,884.36, 152,830.46 and 48,548.84

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Solution

The fourth proportional to 101,884.36, 152,830.46 and 48,548.84 is: 72,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,884.36 : 152,830.46 = 48,548.84 : x
  2. Step 2: Convert to fraction form
    101,884.36/152,830.46 = 48,548.84/x
  3. Step 3: Cross multiply
    101,884.36x = 152,830.46 × 48,548.84
  4. Step 4: Simplify right side
    101,884.36x = 7,419,741,549.67
  5. Step 5: Solve for x
    x = 7,419,741,549.67/101,884.36
  6. Step 6: Final answer
    x = 72,825.13

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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.