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Finding the Fourth Proportional to 32,427.02, 48,640.53 and 7,803.02

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Solution

The fourth proportional to 32,427.02, 48,640.53 and 7,803.02 is: 11,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.02 : 48,640.53 = 7,803.02 : x
  2. Step 2: Convert to fraction form
    32,427.02/48,640.53 = 7,803.02/x
  3. Step 3: Cross multiply
    32,427.02x = 48,640.53 × 7,803.02
  4. Step 4: Simplify right side
    32,427.02x = 379,543,028.40
  5. Step 5: Solve for x
    x = 379,543,028.40/32,427.02
  6. Step 6: Final answer
    x = 11,704.53

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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.