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Finding the Fourth Proportional to 32,447.78, 48,659.78 and 15,802.82

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Solution

The fourth proportional to 32,447.78, 48,659.78 and 15,802.82 is: 23,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.78 : 48,659.78 = 15,802.82 : x
  2. Step 2: Convert to fraction form
    32,447.78/48,659.78 = 15,802.82/x
  3. Step 3: Cross multiply
    32,447.78x = 48,659.78 × 15,802.82
  4. Step 4: Simplify right side
    32,447.78x = 768,961,744.58
  5. Step 5: Solve for x
    x = 768,961,744.58/32,447.78
  6. Step 6: Final answer
    x = 23,698.44

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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.