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Finding the Fourth Proportional to 50,315.83, 69,431.64 and 27,653.65

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Solution

The fourth proportional to 50,315.83, 69,431.64 and 27,653.65 is: 38,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,315.83 : 69,431.64 = 27,653.65 : x
  2. Step 2: Convert to fraction form
    50,315.83/69,431.64 = 27,653.65/x
  3. Step 3: Cross multiply
    50,315.83x = 69,431.64 × 27,653.65
  4. Step 4: Simplify right side
    50,315.83x = 1,920,038,271.49
  5. Step 5: Solve for x
    x = 1,920,038,271.49/50,315.83
  6. Step 6: Final answer
    x = 38,159.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.