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Finding the Fourth Proportional to 51,034.52, 76,554.76 and 15,497

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Solution

The fourth proportional to 51,034.52, 76,554.76 and 15,497 is: 23,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.52 : 76,554.76 = 15,497 : x
  2. Step 2: Convert to fraction form
    51,034.52/76,554.76 = 15,497/x
  3. Step 3: Cross multiply
    51,034.52x = 76,554.76 × 15,497
  4. Step 4: Simplify right side
    51,034.52x = 1,186,369,115.72
  5. Step 5: Solve for x
    x = 1,186,369,115.72/51,034.52
  6. Step 6: Final answer
    x = 23,246.40

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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.