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Finding the Fourth Proportional to 61,892.94, 92,846.16 and 19,763.22

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Solution

The fourth proportional to 61,892.94, 92,846.16 and 19,763.22 is: 29,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,892.94 : 92,846.16 = 19,763.22 : x
  2. Step 2: Convert to fraction form
    61,892.94/92,846.16 = 19,763.22/x
  3. Step 3: Cross multiply
    61,892.94x = 92,846.16 × 19,763.22
  4. Step 4: Simplify right side
    61,892.94x = 1,834,939,086.24
  5. Step 5: Solve for x
    x = 1,834,939,086.24/61,892.94
  6. Step 6: Final answer
    x = 29,646.99

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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.