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Finding the Fourth Proportional to 45,881.56, 63,316.17 and 25,738

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Solution

The fourth proportional to 45,881.56, 63,316.17 and 25,738 is: 35,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,881.56 : 63,316.17 = 25,738 : x
  2. Step 2: Convert to fraction form
    45,881.56/63,316.17 = 25,738/x
  3. Step 3: Cross multiply
    45,881.56x = 63,316.17 × 25,738
  4. Step 4: Simplify right side
    45,881.56x = 1,629,631,583.46
  5. Step 5: Solve for x
    x = 1,629,631,583.46/45,881.56
  6. Step 6: Final answer
    x = 35,518.23

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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.