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Finding the Fourth Proportional to 61,774.72, 92,647.86 and 36,821.80

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Solution

The fourth proportional to 61,774.72, 92,647.86 and 36,821.80 is: 55,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,774.72 : 92,647.86 = 36,821.80 : x
  2. Step 2: Convert to fraction form
    61,774.72/92,647.86 = 36,821.80/x
  3. Step 3: Cross multiply
    61,774.72x = 92,647.86 × 36,821.80
  4. Step 4: Simplify right side
    61,774.72x = 3,411,460,971.35
  5. Step 5: Solve for x
    x = 3,411,460,971.35/61,774.72
  6. Step 6: Final answer
    x = 55,224.22

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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.