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Finding the Fourth Proportional to 51,260.40, 76,898.52 and 21,678.40

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Solution

The fourth proportional to 51,260.40, 76,898.52 and 21,678.40 is: 32,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,260.40 : 76,898.52 = 21,678.40 : x
  2. Step 2: Convert to fraction form
    51,260.40/76,898.52 = 21,678.40/x
  3. Step 3: Cross multiply
    51,260.40x = 76,898.52 × 21,678.40
  4. Step 4: Simplify right side
    51,260.40x = 1,667,036,875.97
  5. Step 5: Solve for x
    x = 1,667,036,875.97/51,260.40
  6. Step 6: Final answer
    x = 32,520.95

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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.