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Finding the Fourth Proportional to 35,898.09, 49,539.65 and 21,741.09

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Solution

The fourth proportional to 35,898.09, 49,539.65 and 21,741.09 is: 30,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898.09 : 49,539.65 = 21,741.09 : x
  2. Step 2: Convert to fraction form
    35,898.09/49,539.65 = 21,741.09/x
  3. Step 3: Cross multiply
    35,898.09x = 49,539.65 × 21,741.09
  4. Step 4: Simplify right side
    35,898.09x = 1,077,045,989.22
  5. Step 5: Solve for x
    x = 1,077,045,989.22/35,898.09
  6. Step 6: Final answer
    x = 30,002.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.