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Finding the Fourth Proportional to 32,743.64, 49,118.64 and 13,017.80

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Solution

The fourth proportional to 32,743.64, 49,118.64 and 13,017.80 is: 19,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,743.64 : 49,118.64 = 13,017.80 : x
  2. Step 2: Convert to fraction form
    32,743.64/49,118.64 = 13,017.80/x
  3. Step 3: Cross multiply
    32,743.64x = 49,118.64 × 13,017.80
  4. Step 4: Simplify right side
    32,743.64x = 639,416,631.79
  5. Step 5: Solve for x
    x = 639,416,631.79/32,743.64
  6. Step 6: Final answer
    x = 19,527.96

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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.