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Finding the Fourth Proportional to 82,788.52, 124,201.08 and 30,197.82

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Solution

The fourth proportional to 82,788.52, 124,201.08 and 30,197.82 is: 45,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,788.52 : 124,201.08 = 30,197.82 : x
  2. Step 2: Convert to fraction form
    82,788.52/124,201.08 = 30,197.82/x
  3. Step 3: Cross multiply
    82,788.52x = 124,201.08 × 30,197.82
  4. Step 4: Simplify right side
    82,788.52x = 3,750,601,857.65
  5. Step 5: Solve for x
    x = 3,750,601,857.65/82,788.52
  6. Step 6: Final answer
    x = 45,303.41

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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.