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Finding the Fourth Proportional to 82,497.72, 113,846.40 and 44,771.88

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Solution

The fourth proportional to 82,497.72, 113,846.40 and 44,771.88 is: 61,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.72 : 113,846.40 = 44,771.88 : x
  2. Step 2: Convert to fraction form
    82,497.72/113,846.40 = 44,771.88/x
  3. Step 3: Cross multiply
    82,497.72x = 113,846.40 × 44,771.88
  4. Step 4: Simplify right side
    82,497.72x = 5,097,117,359.23
  5. Step 5: Solve for x
    x = 5,097,117,359.23/82,497.72
  6. Step 6: Final answer
    x = 61,784.95

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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.