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Finding the Fourth Proportional to 71,298.10, 106,910.23 and 38,009.22

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Solution

The fourth proportional to 71,298.10, 106,910.23 and 38,009.22 is: 56,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298.10 : 106,910.23 = 38,009.22 : x
  2. Step 2: Convert to fraction form
    71,298.10/106,910.23 = 38,009.22/x
  3. Step 3: Cross multiply
    71,298.10x = 106,910.23 × 38,009.22
  4. Step 4: Simplify right side
    71,298.10x = 4,063,574,452.32
  5. Step 5: Solve for x
    x = 4,063,574,452.32/71,298.10
  6. Step 6: Final answer
    x = 56,994.15

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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.