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Finding the Fourth Proportional to 49,492, 74,052 and 34,729.72

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Solution

The fourth proportional to 49,492, 74,052 and 34,729.72 is: 51,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,492 : 74,052 = 34,729.72 : x
  2. Step 2: Convert to fraction form
    49,492/74,052 = 34,729.72/x
  3. Step 3: Cross multiply
    49,492x = 74,052 × 34,729.72
  4. Step 4: Simplify right side
    49,492x = 2,571,805,225.44
  5. Step 5: Solve for x
    x = 2,571,805,225.44/49,492
  6. Step 6: Final answer
    x = 51,964.06

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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.