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Finding the Fourth Proportional to 32,898, 49,359.33 and 19,759.80

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Solution

The fourth proportional to 32,898, 49,359.33 and 19,759.80 is: 29,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898 : 49,359.33 = 19,759.80 : x
  2. Step 2: Convert to fraction form
    32,898/49,359.33 = 19,759.80/x
  3. Step 3: Cross multiply
    32,898x = 49,359.33 × 19,759.80
  4. Step 4: Simplify right side
    32,898x = 975,330,488.93
  5. Step 5: Solve for x
    x = 975,330,488.93/32,898
  6. Step 6: Final answer
    x = 29,647.11

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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.