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Finding the Fourth Proportional to 27,840.66, 41,741.16 and 13,041.48

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Solution

The fourth proportional to 27,840.66, 41,741.16 and 13,041.48 is: 19,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.66 : 41,741.16 = 13,041.48 : x
  2. Step 2: Convert to fraction form
    27,840.66/41,741.16 = 13,041.48/x
  3. Step 3: Cross multiply
    27,840.66x = 41,741.16 × 13,041.48
  4. Step 4: Simplify right side
    27,840.66x = 544,366,503.32
  5. Step 5: Solve for x
    x = 544,366,503.32/27,840.66
  6. Step 6: Final answer
    x = 19,552.93

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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.