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Finding the Fourth Proportional to 27,741.61, 41,612.72 and 8,020.34

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Solution

The fourth proportional to 27,741.61, 41,612.72 and 8,020.34 is: 12,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.61 : 41,612.72 = 8,020.34 : x
  2. Step 2: Convert to fraction form
    27,741.61/41,612.72 = 8,020.34/x
  3. Step 3: Cross multiply
    27,741.61x = 41,612.72 × 8,020.34
  4. Step 4: Simplify right side
    27,741.61x = 333,748,070.61
  5. Step 5: Solve for x
    x = 333,748,070.61/27,741.61
  6. Step 6: Final answer
    x = 12,030.59

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1.5x scale

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.