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Finding the Fourth Proportional to 47,203.64, 65,138.54 and 25,978.80

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Solution

The fourth proportional to 47,203.64, 65,138.54 and 25,978.80 is: 35,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203.64 : 65,138.54 = 25,978.80 : x
  2. Step 2: Convert to fraction form
    47,203.64/65,138.54 = 25,978.80/x
  3. Step 3: Cross multiply
    47,203.64x = 65,138.54 × 25,978.80
  4. Step 4: Simplify right side
    47,203.64x = 1,692,221,102.95
  5. Step 5: Solve for x
    x = 1,692,221,102.95/47,203.64
  6. Step 6: Final answer
    x = 35,849.38

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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.