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Finding the Fourth Proportional to 52,809.80, 79,210.85 and 19,514.34

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Solution

The fourth proportional to 52,809.80, 79,210.85 and 19,514.34 is: 29,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.80 : 79,210.85 = 19,514.34 : x
  2. Step 2: Convert to fraction form
    52,809.80/79,210.85 = 19,514.34/x
  3. Step 3: Cross multiply
    52,809.80x = 79,210.85 × 19,514.34
  4. Step 4: Simplify right side
    52,809.80x = 1,545,747,361.02
  5. Step 5: Solve for x
    x = 1,545,747,361.02/52,809.80
  6. Step 6: Final answer
    x = 29,270.09

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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.