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Finding the Fourth Proportional to 32,841.47, 49,269.12 and 10,653.12

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Solution

The fourth proportional to 32,841.47, 49,269.12 and 10,653.12 is: 15,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.47 : 49,269.12 = 10,653.12 : x
  2. Step 2: Convert to fraction form
    32,841.47/49,269.12 = 10,653.12/x
  3. Step 3: Cross multiply
    32,841.47x = 49,269.12 × 10,653.12
  4. Step 4: Simplify right side
    32,841.47x = 524,869,847.65
  5. Step 5: Solve for x
    x = 524,869,847.65/32,841.47
  6. Step 6: Final answer
    x = 15,981.92

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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.