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Finding the Fourth Proportional to 39,782.16, 59,685.08 and 16,410

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Solution

The fourth proportional to 39,782.16, 59,685.08 and 16,410 is: 24,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.16 : 59,685.08 = 16,410 : x
  2. Step 2: Convert to fraction form
    39,782.16/59,685.08 = 16,410/x
  3. Step 3: Cross multiply
    39,782.16x = 59,685.08 × 16,410
  4. Step 4: Simplify right side
    39,782.16x = 979,432,162.80
  5. Step 5: Solve for x
    x = 979,432,162.80/39,782.16
  6. Step 6: Final answer
    x = 24,619.88

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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.