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Finding the Fourth Proportional to 38,874.16, 53,653.56 and 22,106.16

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Solution

The fourth proportional to 38,874.16, 53,653.56 and 22,106.16 is: 30,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.16 : 53,653.56 = 22,106.16 : x
  2. Step 2: Convert to fraction form
    38,874.16/53,653.56 = 22,106.16/x
  3. Step 3: Cross multiply
    38,874.16x = 53,653.56 × 22,106.16
  4. Step 4: Simplify right side
    38,874.16x = 1,186,074,181.93
  5. Step 5: Solve for x
    x = 1,186,074,181.93/38,874.16
  6. Step 6: Final answer
    x = 30,510.61

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