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Finding the Fourth Proportional to 95,634, 143,474.04 and 29,970

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Solution

The fourth proportional to 95,634, 143,474.04 and 29,970 is: 44,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,634 : 143,474.04 = 29,970 : x
  2. Step 2: Convert to fraction form
    95,634/143,474.04 = 29,970/x
  3. Step 3: Cross multiply
    95,634x = 143,474.04 × 29,970
  4. Step 4: Simplify right side
    95,634x = 4,299,916,978.80
  5. Step 5: Solve for x
    x = 4,299,916,978.80/95,634
  6. Step 6: Final answer
    x = 44,962.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.