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Finding the Fourth Proportional to 101,972.98, 152,958.86 and 39,643.48

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Solution

The fourth proportional to 101,972.98, 152,958.86 and 39,643.48 is: 59,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972.98 : 152,958.86 = 39,643.48 : x
  2. Step 2: Convert to fraction form
    101,972.98/152,958.86 = 39,643.48/x
  3. Step 3: Cross multiply
    101,972.98x = 152,958.86 × 39,643.48
  4. Step 4: Simplify right side
    101,972.98x = 6,063,820,676.99
  5. Step 5: Solve for x
    x = 6,063,820,676.99/101,972.98
  6. Step 6: Final answer
    x = 59,464.98

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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.