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Finding the Fourth Proportional to 101,813.08, 152,684.16 and 41,824.48

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Solution

The fourth proportional to 101,813.08, 152,684.16 and 41,824.48 is: 62,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,813.08 : 152,684.16 = 41,824.48 : x
  2. Step 2: Convert to fraction form
    101,813.08/152,684.16 = 41,824.48/x
  3. Step 3: Cross multiply
    101,813.08x = 152,684.16 × 41,824.48
  4. Step 4: Simplify right side
    101,813.08x = 6,385,935,596.24
  5. Step 5: Solve for x
    x = 6,385,935,596.24/101,813.08
  6. Step 6: Final answer
    x = 62,722.15

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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.