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Finding the Fourth Proportional to 47,102.50, 70,653.75 and 15,937.75

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Solution

The fourth proportional to 47,102.50, 70,653.75 and 15,937.75 is: 23,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,102.50 : 70,653.75 = 15,937.75 : x
  2. Step 2: Convert to fraction form
    47,102.50/70,653.75 = 15,937.75/x
  3. Step 3: Cross multiply
    47,102.50x = 70,653.75 × 15,937.75
  4. Step 4: Simplify right side
    47,102.50x = 1,126,061,804.06
  5. Step 5: Solve for x
    x = 1,126,061,804.06/47,102.50
  6. Step 6: Final answer
    x = 23,906.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.