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Finding the Fourth Proportional to 47,112.03, 65,014.65 and 25,890.84

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Solution

The fourth proportional to 47,112.03, 65,014.65 and 25,890.84 is: 35,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,112.03 : 65,014.65 = 25,890.84 : x
  2. Step 2: Convert to fraction form
    47,112.03/65,014.65 = 25,890.84/x
  3. Step 3: Cross multiply
    47,112.03x = 65,014.65 × 25,890.84
  4. Step 4: Simplify right side
    47,112.03x = 1,683,283,900.81
  5. Step 5: Solve for x
    x = 1,683,283,900.81/47,112.03
  6. Step 6: Final answer
    x = 35,729.39

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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.