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Finding the Fourth Proportional to 75,738, 104,518.96 and 43,464.02

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Solution

The fourth proportional to 75,738, 104,518.96 and 43,464.02 is: 59,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,738 : 104,518.96 = 43,464.02 : x
  2. Step 2: Convert to fraction form
    75,738/104,518.96 = 43,464.02/x
  3. Step 3: Cross multiply
    75,738x = 104,518.96 × 43,464.02
  4. Step 4: Simplify right side
    75,738x = 4,542,814,167.82
  5. Step 5: Solve for x
    x = 4,542,814,167.82/75,738
  6. Step 6: Final answer
    x = 59,980.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.