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Finding the Fourth Proportional to 39,782.88, 59,674.74 and 10,199.88

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Solution

The fourth proportional to 39,782.88, 59,674.74 and 10,199.88 is: 15,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.88 : 59,674.74 = 10,199.88 : x
  2. Step 2: Convert to fraction form
    39,782.88/59,674.74 = 10,199.88/x
  3. Step 3: Cross multiply
    39,782.88x = 59,674.74 × 10,199.88
  4. Step 4: Simplify right side
    39,782.88x = 608,675,187.03
  5. Step 5: Solve for x
    x = 608,675,187.03/39,782.88
  6. Step 6: Final answer
    x = 15,299.93

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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.