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Finding the Fourth Proportional to 101,929.01, 152,833.14 and 30,830.09

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Solution

The fourth proportional to 101,929.01, 152,833.14 and 30,830.09 is: 46,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,929.01 : 152,833.14 = 30,830.09 : x
  2. Step 2: Convert to fraction form
    101,929.01/152,833.14 = 30,830.09/x
  3. Step 3: Cross multiply
    101,929.01x = 152,833.14 × 30,830.09
  4. Step 4: Simplify right side
    101,929.01x = 4,711,858,697.02
  5. Step 5: Solve for x
    x = 4,711,858,697.02/101,929.01
  6. Step 6: Final answer
    x = 46,226.87

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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.