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Finding the Fourth Proportional to 34,480, 51,723 and 9,520.08

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Solution

The fourth proportional to 34,480, 51,723 and 9,520.08 is: 14,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,480 : 51,723 = 9,520.08 : x
  2. Step 2: Convert to fraction form
    34,480/51,723 = 9,520.08/x
  3. Step 3: Cross multiply
    34,480x = 51,723 × 9,520.08
  4. Step 4: Simplify right side
    34,480x = 492,407,097.84
  5. Step 5: Solve for x
    x = 492,407,097.84/34,480
  6. Step 6: Final answer
    x = 14,280.95

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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.