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Finding the Fourth Proportional to 30,733.78, 46,095.54 and 8,549.40

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Solution

The fourth proportional to 30,733.78, 46,095.54 and 8,549.40 is: 12,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733.78 : 46,095.54 = 8,549.40 : x
  2. Step 2: Convert to fraction form
    30,733.78/46,095.54 = 8,549.40/x
  3. Step 3: Cross multiply
    30,733.78x = 46,095.54 × 8,549.40
  4. Step 4: Simplify right side
    30,733.78x = 394,089,209.68
  5. Step 5: Solve for x
    x = 394,089,209.68/30,733.78
  6. Step 6: Final answer
    x = 12,822.67

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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.