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Finding the Fourth Proportional to 45,777, 63,173.24 and 25,905

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Solution

The fourth proportional to 45,777, 63,173.24 and 25,905 is: 35,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,777 : 63,173.24 = 25,905 : x
  2. Step 2: Convert to fraction form
    45,777/63,173.24 = 25,905/x
  3. Step 3: Cross multiply
    45,777x = 63,173.24 × 25,905
  4. Step 4: Simplify right side
    45,777x = 1,636,502,782.20
  5. Step 5: Solve for x
    x = 1,636,502,782.20/45,777
  6. Step 6: Final answer
    x = 35,749.45

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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.