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Finding the Fourth Proportional to 82,114.80, 123,172.20 and 29,529.60

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Solution

The fourth proportional to 82,114.80, 123,172.20 and 29,529.60 is: 44,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.80 : 123,172.20 = 29,529.60 : x
  2. Step 2: Convert to fraction form
    82,114.80/123,172.20 = 29,529.60/x
  3. Step 3: Cross multiply
    82,114.80x = 123,172.20 × 29,529.60
  4. Step 4: Simplify right side
    82,114.80x = 3,637,225,797.12
  5. Step 5: Solve for x
    x = 3,637,225,797.12/82,114.80
  6. Step 6: Final answer
    x = 44,294.40

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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.