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Finding the Fourth Proportional to 64,595.96, 96,852.25 and 30,843.71

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Solution

The fourth proportional to 64,595.96, 96,852.25 and 30,843.71 is: 46,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,595.96 : 96,852.25 = 30,843.71 : x
  2. Step 2: Convert to fraction form
    64,595.96/96,852.25 = 30,843.71/x
  3. Step 3: Cross multiply
    64,595.96x = 96,852.25 × 30,843.71
  4. Step 4: Simplify right side
    64,595.96x = 2,987,282,073.37
  5. Step 5: Solve for x
    x = 2,987,282,073.37/64,595.96
  6. Step 6: Final answer
    x = 46,245.65

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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.