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Finding the Fourth Proportional to 27,655.48, 41,483.36 and 6,878.98

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Solution

The fourth proportional to 27,655.48, 41,483.36 and 6,878.98 is: 10,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,655.48 : 41,483.36 = 6,878.98 : x
  2. Step 2: Convert to fraction form
    27,655.48/41,483.36 = 6,878.98/x
  3. Step 3: Cross multiply
    27,655.48x = 41,483.36 × 6,878.98
  4. Step 4: Simplify right side
    27,655.48x = 285,363,203.77
  5. Step 5: Solve for x
    x = 285,363,203.77/27,655.48
  6. Step 6: Final answer
    x = 10,318.50

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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.