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Finding the Fourth Proportional to 61,692.78, 92,538.36 and 14,946.06

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Solution

The fourth proportional to 61,692.78, 92,538.36 and 14,946.06 is: 22,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,692.78 : 92,538.36 = 14,946.06 : x
  2. Step 2: Convert to fraction form
    61,692.78/92,538.36 = 14,946.06/x
  3. Step 3: Cross multiply
    61,692.78x = 92,538.36 × 14,946.06
  4. Step 4: Simplify right side
    61,692.78x = 1,383,083,880.86
  5. Step 5: Solve for x
    x = 1,383,083,880.86/61,692.78
  6. Step 6: Final answer
    x = 22,418.89

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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.