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Finding the Fourth Proportional to 47,197.63, 65,134.02 and 25,978.20

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Solution

The fourth proportional to 47,197.63, 65,134.02 and 25,978.20 is: 35,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197.63 : 65,134.02 = 25,978.20 : x
  2. Step 2: Convert to fraction form
    47,197.63/65,134.02 = 25,978.20/x
  3. Step 3: Cross multiply
    47,197.63x = 65,134.02 × 25,978.20
  4. Step 4: Simplify right side
    47,197.63x = 1,692,064,598.36
  5. Step 5: Solve for x
    x = 1,692,064,598.36/47,197.63
  6. Step 6: Final answer
    x = 35,850.63

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1.5x scale

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.