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Finding the Fourth Proportional to 51,101.76, 76,626.72 and 23,376

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Solution

The fourth proportional to 51,101.76, 76,626.72 and 23,376 is: 35,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,101.76 : 76,626.72 = 23,376 : x
  2. Step 2: Convert to fraction form
    51,101.76/76,626.72 = 23,376/x
  3. Step 3: Cross multiply
    51,101.76x = 76,626.72 × 23,376
  4. Step 4: Simplify right side
    51,101.76x = 1,791,226,206.72
  5. Step 5: Solve for x
    x = 1,791,226,206.72/51,101.76
  6. Step 6: Final answer
    x = 35,052.14

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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.