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Finding the Fourth Proportional to 101,645.44, 152,416.16 and 42,464.96

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Solution

The fourth proportional to 101,645.44, 152,416.16 and 42,464.96 is: 63,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,645.44 : 152,416.16 = 42,464.96 : x
  2. Step 2: Convert to fraction form
    101,645.44/152,416.16 = 42,464.96/x
  3. Step 3: Cross multiply
    101,645.44x = 152,416.16 × 42,464.96
  4. Step 4: Simplify right side
    101,645.44x = 6,472,346,137.75
  5. Step 5: Solve for x
    x = 6,472,346,137.75/101,645.44
  6. Step 6: Final answer
    x = 63,675.72

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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.