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Finding the Fourth Proportional to 66,590, 91,894.20 and 38,295.08

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Solution

The fourth proportional to 66,590, 91,894.20 and 38,295.08 is: 52,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,590 : 91,894.20 = 38,295.08 : x
  2. Step 2: Convert to fraction form
    66,590/91,894.20 = 38,295.08/x
  3. Step 3: Cross multiply
    66,590x = 91,894.20 × 38,295.08
  4. Step 4: Simplify right side
    66,590x = 3,519,095,740.54
  5. Step 5: Solve for x
    x = 3,519,095,740.54/66,590
  6. Step 6: Final answer
    x = 52,847.21

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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.