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Finding the Fourth Proportional to 39,863.68, 59,802.72 and 16,492

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Solution

The fourth proportional to 39,863.68, 59,802.72 and 16,492 is: 24,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,863.68 : 59,802.72 = 16,492 : x
  2. Step 2: Convert to fraction form
    39,863.68/59,802.72 = 16,492/x
  3. Step 3: Cross multiply
    39,863.68x = 59,802.72 × 16,492
  4. Step 4: Simplify right side
    39,863.68x = 986,266,458.24
  5. Step 5: Solve for x
    x = 986,266,458.24/39,863.68
  6. Step 6: Final answer
    x = 24,740.98

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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.