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Finding the Fourth Proportional to 32,407.53, 48,611.31 and 7,783.53

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Solution

The fourth proportional to 32,407.53, 48,611.31 and 7,783.53 is: 11,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.53 : 48,611.31 = 7,783.53 : x
  2. Step 2: Convert to fraction form
    32,407.53/48,611.31 = 7,783.53/x
  3. Step 3: Cross multiply
    32,407.53x = 48,611.31 × 7,783.53
  4. Step 4: Simplify right side
    32,407.53x = 378,367,550.81
  5. Step 5: Solve for x
    x = 378,367,550.81/32,407.53
  6. Step 6: Final answer
    x = 11,675.30

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Similar ratio
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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.