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Finding the Fourth Proportional to 101,640.86, 152,513.34 and 48,393.08

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Solution

The fourth proportional to 101,640.86, 152,513.34 and 48,393.08 is: 72,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,640.86 : 152,513.34 = 48,393.08 : x
  2. Step 2: Convert to fraction form
    101,640.86/152,513.34 = 48,393.08/x
  3. Step 3: Cross multiply
    101,640.86x = 152,513.34 × 48,393.08
  4. Step 4: Simplify right side
    101,640.86x = 7,380,590,263.69
  5. Step 5: Solve for x
    x = 7,380,590,263.69/101,640.86
  6. Step 6: Final answer
    x = 72,614.40

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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.