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Finding the Fourth Proportional to 33,698, 50,547.04 and 9,074

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Solution

The fourth proportional to 33,698, 50,547.04 and 9,074 is: 13,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698 : 50,547.04 = 9,074 : x
  2. Step 2: Convert to fraction form
    33,698/50,547.04 = 9,074/x
  3. Step 3: Cross multiply
    33,698x = 50,547.04 × 9,074
  4. Step 4: Simplify right side
    33,698x = 458,663,840.96
  5. Step 5: Solve for x
    x = 458,663,840.96/33,698
  6. Step 6: Final answer
    x = 13,611.01

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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.