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Finding the Fourth Proportional to 34,654, 51,989.66 and 10,030

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Solution

The fourth proportional to 34,654, 51,989.66 and 10,030 is: 15,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654 : 51,989.66 = 10,030 : x
  2. Step 2: Convert to fraction form
    34,654/51,989.66 = 10,030/x
  3. Step 3: Cross multiply
    34,654x = 51,989.66 × 10,030
  4. Step 4: Simplify right side
    34,654x = 521,456,289.80
  5. Step 5: Solve for x
    x = 521,456,289.80/34,654
  6. Step 6: Final answer
    x = 15,047.51

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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.