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Finding the Fourth Proportional to 35,408.63, 53,041.71 and 16,406.64

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Solution

The fourth proportional to 35,408.63, 53,041.71 and 16,406.64 is: 24,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408.63 : 53,041.71 = 16,406.64 : x
  2. Step 2: Convert to fraction form
    35,408.63/53,041.71 = 16,406.64/x
  3. Step 3: Cross multiply
    35,408.63x = 53,041.71 × 16,406.64
  4. Step 4: Simplify right side
    35,408.63x = 870,236,240.95
  5. Step 5: Solve for x
    x = 870,236,240.95/35,408.63
  6. Step 6: Final answer
    x = 24,576.96

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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.