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Finding the Fourth Proportional to 27,175.20, 40,746.60 and 14,053.20

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Solution

The fourth proportional to 27,175.20, 40,746.60 and 14,053.20 is: 21,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.20 : 40,746.60 = 14,053.20 : x
  2. Step 2: Convert to fraction form
    27,175.20/40,746.60 = 14,053.20/x
  3. Step 3: Cross multiply
    27,175.20x = 40,746.60 × 14,053.20
  4. Step 4: Simplify right side
    27,175.20x = 572,620,119.12
  5. Step 5: Solve for x
    x = 572,620,119.12/27,175.20
  6. Step 6: Final answer
    x = 21,071.42

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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.