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Finding the Fourth Proportional to 30,894.97, 46,325.85 and 9,829.30

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Solution

The fourth proportional to 30,894.97, 46,325.85 and 9,829.30 is: 14,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.97 : 46,325.85 = 9,829.30 : x
  2. Step 2: Convert to fraction form
    30,894.97/46,325.85 = 9,829.30/x
  3. Step 3: Cross multiply
    30,894.97x = 46,325.85 × 9,829.30
  4. Step 4: Simplify right side
    30,894.97x = 455,350,677.41
  5. Step 5: Solve for x
    x = 455,350,677.41/30,894.97
  6. Step 6: Final answer
    x = 14,738.67

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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.