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Finding the Fourth Proportional to 32,350.63, 48,525.96 and 8,977.09

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Solution

The fourth proportional to 32,350.63, 48,525.96 and 8,977.09 is: 13,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350.63 : 48,525.96 = 8,977.09 : x
  2. Step 2: Convert to fraction form
    32,350.63/48,525.96 = 8,977.09/x
  3. Step 3: Cross multiply
    32,350.63x = 48,525.96 × 8,977.09
  4. Step 4: Simplify right side
    32,350.63x = 435,621,667.63
  5. Step 5: Solve for x
    x = 435,621,667.63/32,350.63
  6. Step 6: Final answer
    x = 13,465.63

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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.