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Finding the Fourth Proportional to 64,215.82, 96,363.83 and 46,205.88

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Solution

The fourth proportional to 64,215.82, 96,363.83 and 46,205.88 is: 69,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,215.82 : 96,363.83 = 46,205.88 : x
  2. Step 2: Convert to fraction form
    64,215.82/96,363.83 = 46,205.88/x
  3. Step 3: Cross multiply
    64,215.82x = 96,363.83 × 46,205.88
  4. Step 4: Simplify right side
    64,215.82x = 4,452,575,565.32
  5. Step 5: Solve for x
    x = 4,452,575,565.32/64,215.82
  6. Step 6: Final answer
    x = 69,337.67

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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.