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Finding the Fourth Proportional to 32,307.66, 48,367.53 and 19,789.65

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Solution

The fourth proportional to 32,307.66, 48,367.53 and 19,789.65 is: 29,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.66 : 48,367.53 = 19,789.65 : x
  2. Step 2: Convert to fraction form
    32,307.66/48,367.53 = 19,789.65/x
  3. Step 3: Cross multiply
    32,307.66x = 48,367.53 × 19,789.65
  4. Step 4: Simplify right side
    32,307.66x = 957,176,490.06
  5. Step 5: Solve for x
    x = 957,176,490.06/32,307.66
  6. Step 6: Final answer
    x = 29,626.92

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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.