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Finding the Fourth Proportional to 52,066.80, 78,092.10 and 14,623.20

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Solution

The fourth proportional to 52,066.80, 78,092.10 and 14,623.20 is: 21,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,066.80 : 78,092.10 = 14,623.20 : x
  2. Step 2: Convert to fraction form
    52,066.80/78,092.10 = 14,623.20/x
  3. Step 3: Cross multiply
    52,066.80x = 78,092.10 × 14,623.20
  4. Step 4: Simplify right side
    52,066.80x = 1,141,956,396.72
  5. Step 5: Solve for x
    x = 1,141,956,396.72/52,066.80
  6. Step 6: Final answer
    x = 21,932.53

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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.