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Finding the Fourth Proportional to 66,004, 91,085.52 and 36,196

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Solution

The fourth proportional to 66,004, 91,085.52 and 36,196 is: 49,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,004 : 91,085.52 = 36,196 : x
  2. Step 2: Convert to fraction form
    66,004/91,085.52 = 36,196/x
  3. Step 3: Cross multiply
    66,004x = 91,085.52 × 36,196
  4. Step 4: Simplify right side
    66,004x = 3,296,931,481.92
  5. Step 5: Solve for x
    x = 3,296,931,481.92/66,004
  6. Step 6: Final answer
    x = 49,950.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.