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Finding the Fourth Proportional to 67,964.84, 102,009.53 and 36,410.53

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Solution

The fourth proportional to 67,964.84, 102,009.53 and 36,410.53 is: 54,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,964.84 : 102,009.53 = 36,410.53 : x
  2. Step 2: Convert to fraction form
    67,964.84/102,009.53 = 36,410.53/x
  3. Step 3: Cross multiply
    67,964.84x = 102,009.53 × 36,410.53
  4. Step 4: Simplify right side
    67,964.84x = 3,714,220,360.25
  5. Step 5: Solve for x
    x = 3,714,220,360.25/67,964.84
  6. Step 6: Final answer
    x = 54,649.14

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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.