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Finding the Fourth Proportional to 27,422.98, 41,129.27 and 13,368.87

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Solution

The fourth proportional to 27,422.98, 41,129.27 and 13,368.87 is: 20,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.98 : 41,129.27 = 13,368.87 : x
  2. Step 2: Convert to fraction form
    27,422.98/41,129.27 = 13,368.87/x
  3. Step 3: Cross multiply
    27,422.98x = 41,129.27 × 13,368.87
  4. Step 4: Simplify right side
    27,422.98x = 549,851,863.82
  5. Step 5: Solve for x
    x = 549,851,863.82/27,422.98
  6. Step 6: Final answer
    x = 20,050.77

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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.