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Finding the Fourth Proportional to 101,460, 152,190.48 and 35,796

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Solution

The fourth proportional to 101,460, 152,190.48 and 35,796 is: 53,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,460 : 152,190.48 = 35,796 : x
  2. Step 2: Convert to fraction form
    101,460/152,190.48 = 35,796/x
  3. Step 3: Cross multiply
    101,460x = 152,190.48 × 35,796
  4. Step 4: Simplify right side
    101,460x = 5,447,810,422.08
  5. Step 5: Solve for x
    x = 5,447,810,422.08/101,460
  6. Step 6: Final answer
    x = 53,694.17

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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.