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Finding the Fourth Proportional to 101,335.10, 152,002.65 and 27,463.10

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Solution

The fourth proportional to 101,335.10, 152,002.65 and 27,463.10 is: 41,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,335.10 : 152,002.65 = 27,463.10 : x
  2. Step 2: Convert to fraction form
    101,335.10/152,002.65 = 27,463.10/x
  3. Step 3: Cross multiply
    101,335.10x = 152,002.65 × 27,463.10
  4. Step 4: Simplify right side
    101,335.10x = 4,174,463,977.22
  5. Step 5: Solve for x
    x = 4,174,463,977.22/101,335.10
  6. Step 6: Final answer
    x = 41,194.65

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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.