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Finding the Fourth Proportional to 32,576.25, 48,864.59 and 9,202.89

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Solution

The fourth proportional to 32,576.25, 48,864.59 and 9,202.89 is: 13,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.25 : 48,864.59 = 9,202.89 : x
  2. Step 2: Convert to fraction form
    32,576.25/48,864.59 = 9,202.89/x
  3. Step 3: Cross multiply
    32,576.25x = 48,864.59 × 9,202.89
  4. Step 4: Simplify right side
    32,576.25x = 449,695,400.65
  5. Step 5: Solve for x
    x = 449,695,400.65/32,576.25
  6. Step 6: Final answer
    x = 13,804.39

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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.