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Finding the Fourth Proportional to 33,528, 50,215.46 and 16,010.13

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Solution

The fourth proportional to 33,528, 50,215.46 and 16,010.13 is: 23,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,528 : 50,215.46 = 16,010.13 : x
  2. Step 2: Convert to fraction form
    33,528/50,215.46 = 16,010.13/x
  3. Step 3: Cross multiply
    33,528x = 50,215.46 × 16,010.13
  4. Step 4: Simplify right side
    33,528x = 803,955,962.56
  5. Step 5: Solve for x
    x = 803,955,962.56/33,528
  6. Step 6: Final answer
    x = 23,978.64

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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.