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Finding the Fourth Proportional to 101,924.30, 140,656.42 and 59,474.64

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Solution

The fourth proportional to 101,924.30, 140,656.42 and 59,474.64 is: 82,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,924.30 : 140,656.42 = 59,474.64 : x
  2. Step 2: Convert to fraction form
    101,924.30/140,656.42 = 59,474.64/x
  3. Step 3: Cross multiply
    101,924.30x = 140,656.42 × 59,474.64
  4. Step 4: Simplify right side
    101,924.30x = 8,365,489,943.19
  5. Step 5: Solve for x
    x = 8,365,489,943.19/101,924.30
  6. Step 6: Final answer
    x = 82,075.52

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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.