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Finding the Fourth Proportional to 72,106.20, 108,116.10 and 37,114.20

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Solution

The fourth proportional to 72,106.20, 108,116.10 and 37,114.20 is: 55,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,106.20 : 108,116.10 = 37,114.20 : x
  2. Step 2: Convert to fraction form
    72,106.20/108,116.10 = 37,114.20/x
  3. Step 3: Cross multiply
    72,106.20x = 108,116.10 × 37,114.20
  4. Step 4: Simplify right side
    72,106.20x = 4,012,642,558.62
  5. Step 5: Solve for x
    x = 4,012,642,558.62/72,106.20
  6. Step 6: Final answer
    x = 55,649.06

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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.