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Finding the Fourth Proportional to 35,041, 52,569.18 and 13,153

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Solution

The fourth proportional to 35,041, 52,569.18 and 13,153 is: 19,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,041 : 52,569.18 = 13,153 : x
  2. Step 2: Convert to fraction form
    35,041/52,569.18 = 13,153/x
  3. Step 3: Cross multiply
    35,041x = 52,569.18 × 13,153
  4. Step 4: Simplify right side
    35,041x = 691,442,424.54
  5. Step 5: Solve for x
    x = 691,442,424.54/35,041
  6. Step 6: Final answer
    x = 19,732.38

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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.