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Finding the Fourth Proportional to 53,340, 80,011.44 and 16,404

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Solution

The fourth proportional to 53,340, 80,011.44 and 16,404 is: 24,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,340 : 80,011.44 = 16,404 : x
  2. Step 2: Convert to fraction form
    53,340/80,011.44 = 16,404/x
  3. Step 3: Cross multiply
    53,340x = 80,011.44 × 16,404
  4. Step 4: Simplify right side
    53,340x = 1,312,507,661.76
  5. Step 5: Solve for x
    x = 1,312,507,661.76/53,340
  6. Step 6: Final answer
    x = 24,606.44

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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.