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Finding the Fourth Proportional to 35,975.34, 49,642.35 and 20,058.30

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Solution

The fourth proportional to 35,975.34, 49,642.35 and 20,058.30 is: 27,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,975.34 : 49,642.35 = 20,058.30 : x
  2. Step 2: Convert to fraction form
    35,975.34/49,642.35 = 20,058.30/x
  3. Step 3: Cross multiply
    35,975.34x = 49,642.35 × 20,058.30
  4. Step 4: Simplify right side
    35,975.34x = 995,741,149.01
  5. Step 5: Solve for x
    x = 995,741,149.01/35,975.34
  6. Step 6: Final answer
    x = 27,678.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.