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Finding the Fourth Proportional to 27,095.80, 40,570.80 and 21,215.20

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Solution

The fourth proportional to 27,095.80, 40,570.80 and 21,215.20 is: 31,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,095.80 : 40,570.80 = 21,215.20 : x
  2. Step 2: Convert to fraction form
    27,095.80/40,570.80 = 21,215.20/x
  3. Step 3: Cross multiply
    27,095.80x = 40,570.80 × 21,215.20
  4. Step 4: Simplify right side
    27,095.80x = 860,717,636.16
  5. Step 5: Solve for x
    x = 860,717,636.16/27,095.80
  6. Step 6: Final answer
    x = 31,765.72

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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.