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Finding the Fourth Proportional to 33,585.42, 50,376.30 and 10,210.04

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Solution

The fourth proportional to 33,585.42, 50,376.30 and 10,210.04 is: 15,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,585.42 : 50,376.30 = 10,210.04 : x
  2. Step 2: Convert to fraction form
    33,585.42/50,376.30 = 10,210.04/x
  3. Step 3: Cross multiply
    33,585.42x = 50,376.30 × 10,210.04
  4. Step 4: Simplify right side
    33,585.42x = 514,343,786.17
  5. Step 5: Solve for x
    x = 514,343,786.17/33,585.42
  6. Step 6: Final answer
    x = 15,314.50

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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.