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Finding the Fourth Proportional to 100,873.84, 151,335.06 and 30,748.84

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Solution

The fourth proportional to 100,873.84, 151,335.06 and 30,748.84 is: 46,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,873.84 : 151,335.06 = 30,748.84 : x
  2. Step 2: Convert to fraction form
    100,873.84/151,335.06 = 30,748.84/x
  3. Step 3: Cross multiply
    100,873.84x = 151,335.06 × 30,748.84
  4. Step 4: Simplify right side
    100,873.84x = 4,653,377,546.33
  5. Step 5: Solve for x
    x = 4,653,377,546.33/100,873.84
  6. Step 6: Final answer
    x = 46,130.67

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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.