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Finding the Fourth Proportional to 29,461.82, 44,200.04 and 9,740.57

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Solution

The fourth proportional to 29,461.82, 44,200.04 and 9,740.57 is: 14,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.82 : 44,200.04 = 9,740.57 : x
  2. Step 2: Convert to fraction form
    29,461.82/44,200.04 = 9,740.57/x
  3. Step 3: Cross multiply
    29,461.82x = 44,200.04 × 9,740.57
  4. Step 4: Simplify right side
    29,461.82x = 430,533,313.92
  5. Step 5: Solve for x
    x = 430,533,313.92/29,461.82
  6. Step 6: Final answer
    x = 14,613.27

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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.