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Finding the Fourth Proportional to 35,674.74, 53,507.86 and 9,381.54

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Solution

The fourth proportional to 35,674.74, 53,507.86 and 9,381.54 is: 14,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.74 : 53,507.86 = 9,381.54 : x
  2. Step 2: Convert to fraction form
    35,674.74/53,507.86 = 9,381.54/x
  3. Step 3: Cross multiply
    35,674.74x = 53,507.86 × 9,381.54
  4. Step 4: Simplify right side
    35,674.74x = 501,986,128.90
  5. Step 5: Solve for x
    x = 501,986,128.90/35,674.74
  6. Step 6: Final answer
    x = 14,071.19

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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.