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Finding the Fourth Proportional to 45,771, 63,164.94 and 25,899

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Solution

The fourth proportional to 45,771, 63,164.94 and 25,899 is: 35,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,771 : 63,164.94 = 25,899 : x
  2. Step 2: Convert to fraction form
    45,771/63,164.94 = 25,899/x
  3. Step 3: Cross multiply
    45,771x = 63,164.94 × 25,899
  4. Step 4: Simplify right side
    45,771x = 1,635,908,781.06
  5. Step 5: Solve for x
    x = 1,635,908,781.06/45,771
  6. Step 6: Final answer
    x = 35,741.16

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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.