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Finding the Fourth Proportional to 34,805.72, 48,032.61 and 19,698.38

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Solution

The fourth proportional to 34,805.72, 48,032.61 and 19,698.38 is: 27,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,805.72 : 48,032.61 = 19,698.38 : x
  2. Step 2: Convert to fraction form
    34,805.72/48,032.61 = 19,698.38/x
  3. Step 3: Cross multiply
    34,805.72x = 48,032.61 × 19,698.38
  4. Step 4: Simplify right side
    34,805.72x = 946,164,364.01
  5. Step 5: Solve for x
    x = 946,164,364.01/34,805.72
  6. Step 6: Final answer
    x = 27,184.16

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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.