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Finding the Fourth Proportional to 101,469.66, 152,223.63 and 31,332.60

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Solution

The fourth proportional to 101,469.66, 152,223.63 and 31,332.60 is: 47,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,469.66 : 152,223.63 = 31,332.60 : x
  2. Step 2: Convert to fraction form
    101,469.66/152,223.63 = 31,332.60/x
  3. Step 3: Cross multiply
    101,469.66x = 152,223.63 × 31,332.60
  4. Step 4: Simplify right side
    101,469.66x = 4,769,562,109.34
  5. Step 5: Solve for x
    x = 4,769,562,109.34/101,469.66
  6. Step 6: Final answer
    x = 47,004.81

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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.