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Finding the Fourth Proportional to 32,829.16, 49,243.42 and 8,205.16

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Solution

The fourth proportional to 32,829.16, 49,243.42 and 8,205.16 is: 12,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.16 : 49,243.42 = 8,205.16 : x
  2. Step 2: Convert to fraction form
    32,829.16/49,243.42 = 8,205.16/x
  3. Step 3: Cross multiply
    32,829.16x = 49,243.42 × 8,205.16
  4. Step 4: Simplify right side
    32,829.16x = 404,050,140.05
  5. Step 5: Solve for x
    x = 404,050,140.05/32,829.16
  6. Step 6: Final answer
    x = 12,307.66

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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.