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Finding the Fourth Proportional to 35,953, 53,938.14 and 11,329

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Solution

The fourth proportional to 35,953, 53,938.14 and 11,329 is: 16,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,953 : 53,938.14 = 11,329 : x
  2. Step 2: Convert to fraction form
    35,953/53,938.14 = 11,329/x
  3. Step 3: Cross multiply
    35,953x = 53,938.14 × 11,329
  4. Step 4: Simplify right side
    35,953x = 611,065,188.06
  5. Step 5: Solve for x
    x = 611,065,188.06/35,953
  6. Step 6: Final answer
    x = 16,996.22

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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.