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Finding the Fourth Proportional to 45,546, 62,853.48 and 25,674

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Solution

The fourth proportional to 45,546, 62,853.48 and 25,674 is: 35,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,546 : 62,853.48 = 25,674 : x
  2. Step 2: Convert to fraction form
    45,546/62,853.48 = 25,674/x
  3. Step 3: Cross multiply
    45,546x = 62,853.48 × 25,674
  4. Step 4: Simplify right side
    45,546x = 1,613,700,245.52
  5. Step 5: Solve for x
    x = 1,613,700,245.52/45,546
  6. Step 6: Final answer
    x = 35,430.12

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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.