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Finding the Fourth Proportional to 51,087.76, 76,605.72 and 23,362

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Solution

The fourth proportional to 51,087.76, 76,605.72 and 23,362 is: 35,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,087.76 : 76,605.72 = 23,362 : x
  2. Step 2: Convert to fraction form
    51,087.76/76,605.72 = 23,362/x
  3. Step 3: Cross multiply
    51,087.76x = 76,605.72 × 23,362
  4. Step 4: Simplify right side
    51,087.76x = 1,789,662,830.64
  5. Step 5: Solve for x
    x = 1,789,662,830.64/51,087.76
  6. Step 6: Final answer
    x = 35,031.15

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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.