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Finding the Fourth Proportional to 32,576.88, 48,859.50 and 9,776.09

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Solution

The fourth proportional to 32,576.88, 48,859.50 and 9,776.09 is: 14,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.88 : 48,859.50 = 9,776.09 : x
  2. Step 2: Convert to fraction form
    32,576.88/48,859.50 = 9,776.09/x
  3. Step 3: Cross multiply
    32,576.88x = 48,859.50 × 9,776.09
  4. Step 4: Simplify right side
    32,576.88x = 477,655,028.16
  5. Step 5: Solve for x
    x = 477,655,028.16/32,576.88
  6. Step 6: Final answer
    x = 14,662.39

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1.5x scale

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.