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Finding the Fourth Proportional to 27,841.04, 41,741.71 and 13,041.88

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Solution

The fourth proportional to 27,841.04, 41,741.71 and 13,041.88 is: 19,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.04 : 41,741.71 = 13,041.88 : x
  2. Step 2: Convert to fraction form
    27,841.04/41,741.71 = 13,041.88/x
  3. Step 3: Cross multiply
    27,841.04x = 41,741.71 × 13,041.88
  4. Step 4: Simplify right side
    27,841.04x = 544,390,235.86
  5. Step 5: Solve for x
    x = 544,390,235.86/27,841.04
  6. Step 6: Final answer
    x = 19,553.52

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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.