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Finding the Fourth Proportional to 101,574, 152,361.36 and 27,702

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Solution

The fourth proportional to 101,574, 152,361.36 and 27,702 is: 41,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,574 : 152,361.36 = 27,702 : x
  2. Step 2: Convert to fraction form
    101,574/152,361.36 = 27,702/x
  3. Step 3: Cross multiply
    101,574x = 152,361.36 × 27,702
  4. Step 4: Simplify right side
    101,574x = 4,220,714,394.72
  5. Step 5: Solve for x
    x = 4,220,714,394.72/101,574
  6. Step 6: Final answer
    x = 41,553.10

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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.