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Finding the Fourth Proportional to 30,746.39, 46,126.06 and 9,692.41

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Solution

The fourth proportional to 30,746.39, 46,126.06 and 9,692.41 is: 14,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,746.39 : 46,126.06 = 9,692.41 : x
  2. Step 2: Convert to fraction form
    30,746.39/46,126.06 = 9,692.41/x
  3. Step 3: Cross multiply
    30,746.39x = 46,126.06 × 9,692.41
  4. Step 4: Simplify right side
    30,746.39x = 447,072,632.14
  5. Step 5: Solve for x
    x = 447,072,632.14/30,746.39
  6. Step 6: Final answer
    x = 14,540.66

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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.