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Finding the Fourth Proportional to 27,137.77, 40,706.35 and 9,603.50

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Solution

The fourth proportional to 27,137.77, 40,706.35 and 9,603.50 is: 14,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.77 : 40,706.35 = 9,603.50 : x
  2. Step 2: Convert to fraction form
    27,137.77/40,706.35 = 9,603.50/x
  3. Step 3: Cross multiply
    27,137.77x = 40,706.35 × 9,603.50
  4. Step 4: Simplify right side
    27,137.77x = 390,923,204.68
  5. Step 5: Solve for x
    x = 390,923,204.68/27,137.77
  6. Step 6: Final answer
    x = 14,405.14

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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.