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Finding the Fourth Proportional to 41,420.25, 62,130.38 and 10,255.50

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Solution

The fourth proportional to 41,420.25, 62,130.38 and 10,255.50 is: 15,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,420.25 : 62,130.38 = 10,255.50 : x
  2. Step 2: Convert to fraction form
    41,420.25/62,130.38 = 10,255.50/x
  3. Step 3: Cross multiply
    41,420.25x = 62,130.38 × 10,255.50
  4. Step 4: Simplify right side
    41,420.25x = 637,178,060.81
  5. Step 5: Solve for x
    x = 637,178,060.81/41,420.25
  6. Step 6: Final answer
    x = 15,383.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.