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Finding the Fourth Proportional to 47,125, 65,034.02 and 25,905.80

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Solution

The fourth proportional to 47,125, 65,034.02 and 25,905.80 is: 35,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,125 : 65,034.02 = 25,905.80 : x
  2. Step 2: Convert to fraction form
    47,125/65,034.02 = 25,905.80/x
  3. Step 3: Cross multiply
    47,125x = 65,034.02 × 25,905.80
  4. Step 4: Simplify right side
    47,125x = 1,684,758,315.32
  5. Step 5: Solve for x
    x = 1,684,758,315.32/47,125
  6. Step 6: Final answer
    x = 35,750.84

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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.