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Finding the Fourth Proportional to 33,700, 50,547.92 and 10,324.64

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Solution

The fourth proportional to 33,700, 50,547.92 and 10,324.64 is: 15,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,700 : 50,547.92 = 10,324.64 : x
  2. Step 2: Convert to fraction form
    33,700/50,547.92 = 10,324.64/x
  3. Step 3: Cross multiply
    33,700x = 50,547.92 × 10,324.64
  4. Step 4: Simplify right side
    33,700x = 521,889,076.75
  5. Step 5: Solve for x
    x = 521,889,076.75/33,700
  6. Step 6: Final answer
    x = 15,486.32

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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.