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Finding the Fourth Proportional to 48,674.64, 72,983.94 and 19,057.80

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Solution

The fourth proportional to 48,674.64, 72,983.94 and 19,057.80 is: 28,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,674.64 : 72,983.94 = 19,057.80 : x
  2. Step 2: Convert to fraction form
    48,674.64/72,983.94 = 19,057.80/x
  3. Step 3: Cross multiply
    48,674.64x = 72,983.94 × 19,057.80
  4. Step 4: Simplify right side
    48,674.64x = 1,390,913,331.73
  5. Step 5: Solve for x
    x = 1,390,913,331.73/48,674.64
  6. Step 6: Final answer
    x = 28,575.73

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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.