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Finding the Fourth Proportional to 32,928.86, 49,392.65 and 13,211.84

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Solution

The fourth proportional to 32,928.86, 49,392.65 and 13,211.84 is: 19,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928.86 : 49,392.65 = 13,211.84 : x
  2. Step 2: Convert to fraction form
    32,928.86/49,392.65 = 13,211.84/x
  3. Step 3: Cross multiply
    32,928.86x = 49,392.65 × 13,211.84
  4. Step 4: Simplify right side
    32,928.86x = 652,567,475.95
  5. Step 5: Solve for x
    x = 652,567,475.95/32,928.86
  6. Step 6: Final answer
    x = 19,817.50

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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.