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Finding the Fourth Proportional to 32,829.40, 49,211.70 and 13,081.60

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Solution

The fourth proportional to 32,829.40, 49,211.70 and 13,081.60 is: 19,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.40 : 49,211.70 = 13,081.60 : x
  2. Step 2: Convert to fraction form
    32,829.40/49,211.70 = 13,081.60/x
  3. Step 3: Cross multiply
    32,829.40x = 49,211.70 × 13,081.60
  4. Step 4: Simplify right side
    32,829.40x = 643,767,774.72
  5. Step 5: Solve for x
    x = 643,767,774.72/32,829.40
  6. Step 6: Final answer
    x = 19,609.49

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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.