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Finding the Fourth Proportional to 68,054.53, 101,993.10 and 34,746.52

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Solution

The fourth proportional to 68,054.53, 101,993.10 and 34,746.52 is: 52,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,054.53 : 101,993.10 = 34,746.52 : x
  2. Step 2: Convert to fraction form
    68,054.53/101,993.10 = 34,746.52/x
  3. Step 3: Cross multiply
    68,054.53x = 101,993.10 × 34,746.52
  4. Step 4: Simplify right side
    68,054.53x = 3,543,905,192.69
  5. Step 5: Solve for x
    x = 3,543,905,192.69/68,054.53
  6. Step 6: Final answer
    x = 52,074.49

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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.