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Finding the Fourth Proportional to 82,807.94, 124,213.95 and 30,217.41

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Solution

The fourth proportional to 82,807.94, 124,213.95 and 30,217.41 is: 45,326.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,807.94 : 124,213.95 = 30,217.41 : x
  2. Step 2: Convert to fraction form
    82,807.94/124,213.95 = 30,217.41/x
  3. Step 3: Cross multiply
    82,807.94x = 124,213.95 × 30,217.41
  4. Step 4: Simplify right side
    82,807.94x = 3,753,423,854.87
  5. Step 5: Solve for x
    x = 3,753,423,854.87/82,807.94
  6. Step 6: Final answer
    x = 45,326.86

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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.