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Finding the Fourth Proportional to 30,352.07, 45,522.59 and 8,160.27

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Solution

The fourth proportional to 30,352.07, 45,522.59 and 8,160.27 is: 12,238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,352.07 : 45,522.59 = 8,160.27 : x
  2. Step 2: Convert to fraction form
    30,352.07/45,522.59 = 8,160.27/x
  3. Step 3: Cross multiply
    30,352.07x = 45,522.59 × 8,160.27
  4. Step 4: Simplify right side
    30,352.07x = 371,476,625.50
  5. Step 5: Solve for x
    x = 371,476,625.50/30,352.07
  6. Step 6: Final answer
    x = 12,238.92

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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.