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Finding the Fourth Proportional to 32,175.80, 48,278.10 and 14,636.60

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Solution

The fourth proportional to 32,175.80, 48,278.10 and 14,636.60 is: 21,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.80 : 48,278.10 = 14,636.60 : x
  2. Step 2: Convert to fraction form
    32,175.80/48,278.10 = 14,636.60/x
  3. Step 3: Cross multiply
    32,175.80x = 48,278.10 × 14,636.60
  4. Step 4: Simplify right side
    32,175.80x = 706,627,238.46
  5. Step 5: Solve for x
    x = 706,627,238.46/32,175.80
  6. Step 6: Final answer
    x = 21,961.45

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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.