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Finding the Fourth Proportional to 101,827.77, 152,790.27 and 49,208.01

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Solution

The fourth proportional to 101,827.77, 152,790.27 and 49,208.01 is: 73,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,827.77 : 152,790.27 = 49,208.01 : x
  2. Step 2: Convert to fraction form
    101,827.77/152,790.27 = 49,208.01/x
  3. Step 3: Cross multiply
    101,827.77x = 152,790.27 × 49,208.01
  4. Step 4: Simplify right side
    101,827.77x = 7,518,505,134.06
  5. Step 5: Solve for x
    x = 7,518,505,134.06/101,827.77
  6. Step 6: Final answer
    x = 73,835.51

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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.