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Finding the Fourth Proportional to 32,494.74, 48,679.92 and 19,307.04

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Solution

The fourth proportional to 32,494.74, 48,679.92 and 19,307.04 is: 28,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.74 : 48,679.92 = 19,307.04 : x
  2. Step 2: Convert to fraction form
    32,494.74/48,679.92 = 19,307.04/x
  3. Step 3: Cross multiply
    32,494.74x = 48,679.92 × 19,307.04
  4. Step 4: Simplify right side
    32,494.74x = 939,865,162.64
  5. Step 5: Solve for x
    x = 939,865,162.64/32,494.74
  6. Step 6: Final answer
    x = 28,923.61

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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.