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Finding the Fourth Proportional to 95,635, 143,475.54 and 29,971

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Solution

The fourth proportional to 95,635, 143,475.54 and 29,971 is: 44,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,635 : 143,475.54 = 29,971 : x
  2. Step 2: Convert to fraction form
    95,635/143,475.54 = 29,971/x
  3. Step 3: Cross multiply
    95,635x = 143,475.54 × 29,971
  4. Step 4: Simplify right side
    95,635x = 4,300,105,409.34
  5. Step 5: Solve for x
    x = 4,300,105,409.34/95,635
  6. Step 6: Final answer
    x = 44,963.72

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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.