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Finding the Fourth Proportional to 32,407.50, 48,611.28 and 9,034.56

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Solution

The fourth proportional to 32,407.50, 48,611.28 and 9,034.56 is: 13,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.50 : 48,611.28 = 9,034.56 : x
  2. Step 2: Convert to fraction form
    32,407.50/48,611.28 = 9,034.56/x
  3. Step 3: Cross multiply
    32,407.50x = 48,611.28 × 9,034.56
  4. Step 4: Simplify right side
    32,407.50x = 439,181,525.84
  5. Step 5: Solve for x
    x = 439,181,525.84/32,407.50
  6. Step 6: Final answer
    x = 13,551.85

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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.