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Finding the Fourth Proportional to 53,520, 80,284.56 and 16,584

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Solution

The fourth proportional to 53,520, 80,284.56 and 16,584 is: 24,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,520 : 80,284.56 = 16,584 : x
  2. Step 2: Convert to fraction form
    53,520/80,284.56 = 16,584/x
  3. Step 3: Cross multiply
    53,520x = 80,284.56 × 16,584
  4. Step 4: Simplify right side
    53,520x = 1,331,439,143.04
  5. Step 5: Solve for x
    x = 1,331,439,143.04/53,520
  6. Step 6: Final answer
    x = 24,877.41

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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.