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Finding the Fourth Proportional to 51,507.88, 77,184.06 and 33,001

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Solution

The fourth proportional to 51,507.88, 77,184.06 and 33,001 is: 49,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,507.88 : 77,184.06 = 33,001 : x
  2. Step 2: Convert to fraction form
    51,507.88/77,184.06 = 33,001/x
  3. Step 3: Cross multiply
    51,507.88x = 77,184.06 × 33,001
  4. Step 4: Simplify right side
    51,507.88x = 2,547,151,164.06
  5. Step 5: Solve for x
    x = 2,547,151,164.06/51,507.88
  6. Step 6: Final answer
    x = 49,451.68

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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.