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Finding the Fourth Proportional to 30,748.34, 46,117.28 and 8,563.93

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Solution

The fourth proportional to 30,748.34, 46,117.28 and 8,563.93 is: 12,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.34 : 46,117.28 = 8,563.93 : x
  2. Step 2: Convert to fraction form
    30,748.34/46,117.28 = 8,563.93/x
  3. Step 3: Cross multiply
    30,748.34x = 46,117.28 × 8,563.93
  4. Step 4: Simplify right side
    30,748.34x = 394,945,063.83
  5. Step 5: Solve for x
    x = 394,945,063.83/30,748.34
  6. Step 6: Final answer
    x = 12,844.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.