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Finding the Fourth Proportional to 35,407.40, 53,120.21 and 10,446.44

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Solution

The fourth proportional to 35,407.40, 53,120.21 and 10,446.44 is: 15,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,407.40 : 53,120.21 = 10,446.44 : x
  2. Step 2: Convert to fraction form
    35,407.40/53,120.21 = 10,446.44/x
  3. Step 3: Cross multiply
    35,407.40x = 53,120.21 × 10,446.44
  4. Step 4: Simplify right side
    35,407.40x = 554,916,768.72
  5. Step 5: Solve for x
    x = 554,916,768.72/35,407.40
  6. Step 6: Final answer
    x = 15,672.34

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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.