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Finding the Fourth Proportional to 68,034, 101,957.04 and 38,064

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Solution

The fourth proportional to 68,034, 101,957.04 and 38,064 is: 57,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,034 : 101,957.04 = 38,064 : x
  2. Step 2: Convert to fraction form
    68,034/101,957.04 = 38,064/x
  3. Step 3: Cross multiply
    68,034x = 101,957.04 × 38,064
  4. Step 4: Simplify right side
    68,034x = 3,880,892,770.56
  5. Step 5: Solve for x
    x = 3,880,892,770.56/68,034
  6. Step 6: Final answer
    x = 57,043.43

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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.