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Finding the Fourth Proportional to 35,812.26, 53,718.39 and 9,516.33

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Solution

The fourth proportional to 35,812.26, 53,718.39 and 9,516.33 is: 14,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.26 : 53,718.39 = 9,516.33 : x
  2. Step 2: Convert to fraction form
    35,812.26/53,718.39 = 9,516.33/x
  3. Step 3: Cross multiply
    35,812.26x = 53,718.39 × 9,516.33
  4. Step 4: Simplify right side
    35,812.26x = 511,201,926.31
  5. Step 5: Solve for x
    x = 511,201,926.31/35,812.26
  6. Step 6: Final answer
    x = 14,274.50

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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.