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Finding the Fourth Proportional to 35,333, 53,023.80 and 14,556.50

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Solution

The fourth proportional to 35,333, 53,023.80 and 14,556.50 is: 21,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,333 : 53,023.80 = 14,556.50 : x
  2. Step 2: Convert to fraction form
    35,333/53,023.80 = 14,556.50/x
  3. Step 3: Cross multiply
    35,333x = 53,023.80 × 14,556.50
  4. Step 4: Simplify right side
    35,333x = 771,840,944.70
  5. Step 5: Solve for x
    x = 771,840,944.70/35,333
  6. Step 6: Final answer
    x = 21,844.76

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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.