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Finding the Fourth Proportional to 34,482, 51,726 and 9,522.08

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Solution

The fourth proportional to 34,482, 51,726 and 9,522.08 is: 14,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,482 : 51,726 = 9,522.08 : x
  2. Step 2: Convert to fraction form
    34,482/51,726 = 9,522.08/x
  3. Step 3: Cross multiply
    34,482x = 51,726 × 9,522.08
  4. Step 4: Simplify right side
    34,482x = 492,539,110.08
  5. Step 5: Solve for x
    x = 492,539,110.08/34,482
  6. Step 6: Final answer
    x = 14,283.95

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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.