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Finding the Fourth Proportional to 34,732.16, 47,930.24 and 18,816.58

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Solution

The fourth proportional to 34,732.16, 47,930.24 and 18,816.58 is: 25,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,732.16 : 47,930.24 = 18,816.58 : x
  2. Step 2: Convert to fraction form
    34,732.16/47,930.24 = 18,816.58/x
  3. Step 3: Cross multiply
    34,732.16x = 47,930.24 × 18,816.58
  4. Step 4: Simplify right side
    34,732.16x = 901,883,195.38
  5. Step 5: Solve for x
    x = 901,883,195.38/34,732.16
  6. Step 6: Final answer
    x = 25,966.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.