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Finding the Fourth Proportional to 32,891.94, 49,357.98 and 15,363

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Solution

The fourth proportional to 32,891.94, 49,357.98 and 15,363 is: 23,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.94 : 49,357.98 = 15,363 : x
  2. Step 2: Convert to fraction form
    32,891.94/49,357.98 = 15,363/x
  3. Step 3: Cross multiply
    32,891.94x = 49,357.98 × 15,363
  4. Step 4: Simplify right side
    32,891.94x = 758,286,646.74
  5. Step 5: Solve for x
    x = 758,286,646.74/32,891.94
  6. Step 6: Final answer
    x = 23,053.87

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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.