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Finding the Fourth Proportional to 47,111.50, 70,653.18 and 15,515.74

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Solution

The fourth proportional to 47,111.50, 70,653.18 and 15,515.74 is: 23,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,111.50 : 70,653.18 = 15,515.74 : x
  2. Step 2: Convert to fraction form
    47,111.50/70,653.18 = 15,515.74/x
  3. Step 3: Cross multiply
    47,111.50x = 70,653.18 × 15,515.74
  4. Step 4: Simplify right side
    47,111.50x = 1,096,236,371.05
  5. Step 5: Solve for x
    x = 1,096,236,371.05/47,111.50
  6. Step 6: Final answer
    x = 23,268.98

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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.