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Finding the Fourth Proportional to 101,512.64, 152,359.42 and 48,270.26

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Solution

The fourth proportional to 101,512.64, 152,359.42 and 48,270.26 is: 72,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,512.64 : 152,359.42 = 48,270.26 : x
  2. Step 2: Convert to fraction form
    101,512.64/152,359.42 = 48,270.26/x
  3. Step 3: Cross multiply
    101,512.64x = 152,359.42 × 48,270.26
  4. Step 4: Simplify right side
    101,512.64x = 7,354,428,816.85
  5. Step 5: Solve for x
    x = 7,354,428,816.85/101,512.64
  6. Step 6: Final answer
    x = 72,448.40

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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.