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Finding the Fourth Proportional to 70,706, 106,053.45 and 41,104.94

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Solution

The fourth proportional to 70,706, 106,053.45 and 41,104.94 is: 61,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706 : 106,053.45 = 41,104.94 : x
  2. Step 2: Convert to fraction form
    70,706/106,053.45 = 41,104.94/x
  3. Step 3: Cross multiply
    70,706x = 106,053.45 × 41,104.94
  4. Step 4: Simplify right side
    70,706x = 4,359,320,699.04
  5. Step 5: Solve for x
    x = 4,359,320,699.04/70,706
  6. Step 6: Final answer
    x = 61,654.18

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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.