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Finding the Fourth Proportional to 52,492.73, 78,716.00 and 19,204.16

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Solution

The fourth proportional to 52,492.73, 78,716.00 and 19,204.16 is: 28,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,492.73 : 78,716.00 = 19,204.16 : x
  2. Step 2: Convert to fraction form
    52,492.73/78,716.00 = 19,204.16/x
  3. Step 3: Cross multiply
    52,492.73x = 78,716.00 × 19,204.16
  4. Step 4: Simplify right side
    52,492.73x = 1,511,674,312.99
  5. Step 5: Solve for x
    x = 1,511,674,312.99/52,492.73
  6. Step 6: Final answer
    x = 28,797.79

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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.