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Finding the Fourth Proportional to 52,902.54, 79,384.85 and 19,645.70

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Solution

The fourth proportional to 52,902.54, 79,384.85 and 19,645.70 is: 29,480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902.54 : 79,384.85 = 19,645.70 : x
  2. Step 2: Convert to fraction form
    52,902.54/79,384.85 = 19,645.70/x
  3. Step 3: Cross multiply
    52,902.54x = 79,384.85 × 19,645.70
  4. Step 4: Simplify right side
    52,902.54x = 1,559,570,452.49
  5. Step 5: Solve for x
    x = 1,559,570,452.49/52,902.54
  6. Step 6: Final answer
    x = 29,480.07

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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.