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Finding the Fourth Proportional to 101,666.32, 152,519.87 and 35,108.90

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Solution

The fourth proportional to 101,666.32, 152,519.87 and 35,108.90 is: 52,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,666.32 : 152,519.87 = 35,108.90 : x
  2. Step 2: Convert to fraction form
    101,666.32/152,519.87 = 35,108.90/x
  3. Step 3: Cross multiply
    101,666.32x = 152,519.87 × 35,108.90
  4. Step 4: Simplify right side
    101,666.32x = 5,354,804,863.84
  5. Step 5: Solve for x
    x = 5,354,804,863.84/101,666.32
  6. Step 6: Final answer
    x = 52,670.39

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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.