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Finding the Fourth Proportional to 32,570, 48,855.04 and 7,946

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Solution

The fourth proportional to 32,570, 48,855.04 and 7,946 is: 11,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570 : 48,855.04 = 7,946 : x
  2. Step 2: Convert to fraction form
    32,570/48,855.04 = 7,946/x
  3. Step 3: Cross multiply
    32,570x = 48,855.04 × 7,946
  4. Step 4: Simplify right side
    32,570x = 388,202,147.84
  5. Step 5: Solve for x
    x = 388,202,147.84/32,570
  6. Step 6: Final answer
    x = 11,919.01

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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.