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Finding the Fourth Proportional to 53,019, 79,528.50 and 16,083

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Solution

The fourth proportional to 53,019, 79,528.50 and 16,083 is: 24,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,019 : 79,528.50 = 16,083 : x
  2. Step 2: Convert to fraction form
    53,019/79,528.50 = 16,083/x
  3. Step 3: Cross multiply
    53,019x = 79,528.50 × 16,083
  4. Step 4: Simplify right side
    53,019x = 1,279,056,865.50
  5. Step 5: Solve for x
    x = 1,279,056,865.50/53,019
  6. Step 6: Final answer
    x = 24,124.50

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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.