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Finding the Fourth Proportional to 47,245, 65,198.12 and 26,024.28

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Solution

The fourth proportional to 47,245, 65,198.12 and 26,024.28 is: 35,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,245 : 65,198.12 = 26,024.28 : x
  2. Step 2: Convert to fraction form
    47,245/65,198.12 = 26,024.28/x
  3. Step 3: Cross multiply
    47,245x = 65,198.12 × 26,024.28
  4. Step 4: Simplify right side
    47,245x = 1,696,734,130.35
  5. Step 5: Solve for x
    x = 1,696,734,130.35/47,245
  6. Step 6: Final answer
    x = 35,913.52

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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.