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Finding the Fourth Proportional to 32,405.66, 48,627.62 and 13,684.48

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Solution

The fourth proportional to 32,405.66, 48,627.62 and 13,684.48 is: 20,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405.66 : 48,627.62 = 13,684.48 : x
  2. Step 2: Convert to fraction form
    32,405.66/48,627.62 = 13,684.48/x
  3. Step 3: Cross multiply
    32,405.66x = 48,627.62 × 13,684.48
  4. Step 4: Simplify right side
    32,405.66x = 665,443,693.34
  5. Step 5: Solve for x
    x = 665,443,693.34/32,405.66
  6. Step 6: Final answer
    x = 20,534.80

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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.