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Finding the Fourth Proportional to 53,410, 80,116.08 and 16,474

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Solution

The fourth proportional to 53,410, 80,116.08 and 16,474 is: 24,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,410 : 80,116.08 = 16,474 : x
  2. Step 2: Convert to fraction form
    53,410/80,116.08 = 16,474/x
  3. Step 3: Cross multiply
    53,410x = 80,116.08 × 16,474
  4. Step 4: Simplify right side
    53,410x = 1,319,832,301.92
  5. Step 5: Solve for x
    x = 1,319,832,301.92/53,410
  6. Step 6: Final answer
    x = 24,711.33

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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.