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Finding the Fourth Proportional to 51,506.88, 77,182.56 and 33,000

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Solution

The fourth proportional to 51,506.88, 77,182.56 and 33,000 is: 49,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506.88 : 77,182.56 = 33,000 : x
  2. Step 2: Convert to fraction form
    51,506.88/77,182.56 = 33,000/x
  3. Step 3: Cross multiply
    51,506.88x = 77,182.56 × 33,000
  4. Step 4: Simplify right side
    51,506.88x = 2,547,024,480
  5. Step 5: Solve for x
    x = 2,547,024,480/51,506.88
  6. Step 6: Final answer
    x = 49,450.18

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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.