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Finding the Fourth Proportional to 32,445.77, 48,668.66 and 7,821.77

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Solution

The fourth proportional to 32,445.77, 48,668.66 and 7,821.77 is: 11,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.77 : 48,668.66 = 7,821.77 : x
  2. Step 2: Convert to fraction form
    32,445.77/48,668.66 = 7,821.77/x
  3. Step 3: Cross multiply
    32,445.77x = 48,668.66 × 7,821.77
  4. Step 4: Simplify right side
    32,445.77x = 380,675,064.73
  5. Step 5: Solve for x
    x = 380,675,064.73/32,445.77
  6. Step 6: Final answer
    x = 11,732.66

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1.5x scale

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.