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Finding the Fourth Proportional to 82,803.60, 124,172.19 and 35,441.28

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Solution

The fourth proportional to 82,803.60, 124,172.19 and 35,441.28 is: 53,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,803.60 : 124,172.19 = 35,441.28 : x
  2. Step 2: Convert to fraction form
    82,803.60/124,172.19 = 35,441.28/x
  3. Step 3: Cross multiply
    82,803.60x = 124,172.19 × 35,441.28
  4. Step 4: Simplify right side
    82,803.60x = 4,400,821,354.00
  5. Step 5: Solve for x
    x = 4,400,821,354.00/82,803.60
  6. Step 6: Final answer
    x = 53,147.71

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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.