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Finding the Fourth Proportional to 51,054, 76,601.68 and 22,954.40

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Solution

The fourth proportional to 51,054, 76,601.68 and 22,954.40 is: 34,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,054 : 76,601.68 = 22,954.40 : x
  2. Step 2: Convert to fraction form
    51,054/76,601.68 = 22,954.40/x
  3. Step 3: Cross multiply
    51,054x = 76,601.68 × 22,954.40
  4. Step 4: Simplify right side
    51,054x = 1,758,345,603.39
  5. Step 5: Solve for x
    x = 1,758,345,603.39/51,054
  6. Step 6: Final answer
    x = 34,440.90

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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.