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Finding the Fourth Proportional to 35,806.38, 53,705.37 and 9,513.15

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Solution

The fourth proportional to 35,806.38, 53,705.37 and 9,513.15 is: 14,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.38 : 53,705.37 = 9,513.15 : x
  2. Step 2: Convert to fraction form
    35,806.38/53,705.37 = 9,513.15/x
  3. Step 3: Cross multiply
    35,806.38x = 53,705.37 × 9,513.15
  4. Step 4: Simplify right side
    35,806.38x = 510,907,240.62
  5. Step 5: Solve for x
    x = 510,907,240.62/35,806.38
  6. Step 6: Final answer
    x = 14,268.61

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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.