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Finding the Fourth Proportional to 36,095.41, 53,878.74 and 31,834.39

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Solution

The fourth proportional to 36,095.41, 53,878.74 and 31,834.39 is: 47,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,095.41 : 53,878.74 = 31,834.39 : x
  2. Step 2: Convert to fraction form
    36,095.41/53,878.74 = 31,834.39/x
  3. Step 3: Cross multiply
    36,095.41x = 53,878.74 × 31,834.39
  4. Step 4: Simplify right side
    36,095.41x = 1,715,196,954.65
  5. Step 5: Solve for x
    x = 1,715,196,954.65/36,095.41
  6. Step 6: Final answer
    x = 47,518.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.