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Finding the Fourth Proportional to 53,408, 80,113.08 and 16,472

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Solution

The fourth proportional to 53,408, 80,113.08 and 16,472 is: 24,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408 : 80,113.08 = 16,472 : x
  2. Step 2: Convert to fraction form
    53,408/80,113.08 = 16,472/x
  3. Step 3: Cross multiply
    53,408x = 80,113.08 × 16,472
  4. Step 4: Simplify right side
    53,408x = 1,319,622,653.76
  5. Step 5: Solve for x
    x = 1,319,622,653.76/53,408
  6. Step 6: Final answer
    x = 24,708.33

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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.