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Finding the Fourth Proportional to 35,323, 52,984.62 and 10,699

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Solution

The fourth proportional to 35,323, 52,984.62 and 10,699 is: 16,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,323 : 52,984.62 = 10,699 : x
  2. Step 2: Convert to fraction form
    35,323/52,984.62 = 10,699/x
  3. Step 3: Cross multiply
    35,323x = 52,984.62 × 10,699
  4. Step 4: Simplify right side
    35,323x = 566,882,449.38
  5. Step 5: Solve for x
    x = 566,882,449.38/35,323
  6. Step 6: Final answer
    x = 16,048.54

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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.