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Finding the Fourth Proportional to 97,336.80, 146,005.20 and 26,259.30

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Solution

The fourth proportional to 97,336.80, 146,005.20 and 26,259.30 is: 39,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,336.80 : 146,005.20 = 26,259.30 : x
  2. Step 2: Convert to fraction form
    97,336.80/146,005.20 = 26,259.30/x
  3. Step 3: Cross multiply
    97,336.80x = 146,005.20 × 26,259.30
  4. Step 4: Simplify right side
    97,336.80x = 3,833,994,348.36
  5. Step 5: Solve for x
    x = 3,833,994,348.36/97,336.80
  6. Step 6: Final answer
    x = 39,388.95

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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.