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Finding the Fourth Proportional to 101,666.82, 152,520.62 and 35,109.40

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Solution

The fourth proportional to 101,666.82, 152,520.62 and 35,109.40 is: 52,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,666.82 : 152,520.62 = 35,109.40 : x
  2. Step 2: Convert to fraction form
    101,666.82/152,520.62 = 35,109.40/x
  3. Step 3: Cross multiply
    101,666.82x = 152,520.62 × 35,109.40
  4. Step 4: Simplify right side
    101,666.82x = 5,354,907,455.83
  5. Step 5: Solve for x
    x = 5,354,907,455.83/101,666.82
  6. Step 6: Final answer
    x = 52,671.14

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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.