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Finding the Fourth Proportional to 27,104.31, 40,627.67 and 13,055.58

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Solution

The fourth proportional to 27,104.31, 40,627.67 and 13,055.58 is: 19,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,104.31 : 40,627.67 = 13,055.58 : x
  2. Step 2: Convert to fraction form
    27,104.31/40,627.67 = 13,055.58/x
  3. Step 3: Cross multiply
    27,104.31x = 40,627.67 × 13,055.58
  4. Step 4: Simplify right side
    27,104.31x = 530,417,730.62
  5. Step 5: Solve for x
    x = 530,417,730.62/27,104.31
  6. Step 6: Final answer
    x = 19,569.50

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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.