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Finding the Fourth Proportional to 101,643.60, 152,509.14 and 49,092.48

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Solution

The fourth proportional to 101,643.60, 152,509.14 and 49,092.48 is: 73,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,643.60 : 152,509.14 = 49,092.48 : x
  2. Step 2: Convert to fraction form
    101,643.60/152,509.14 = 49,092.48/x
  3. Step 3: Cross multiply
    101,643.60x = 152,509.14 × 49,092.48
  4. Step 4: Simplify right side
    101,643.60x = 7,487,051,905.27
  5. Step 5: Solve for x
    x = 7,487,051,905.27/101,643.60
  6. Step 6: Final answer
    x = 73,659.85

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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.