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Finding the Fourth Proportional to 32,668.49, 45,065.93 and 21,344.63

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Solution

The fourth proportional to 32,668.49, 45,065.93 and 21,344.63 is: 29,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,668.49 : 45,065.93 = 21,344.63 : x
  2. Step 2: Convert to fraction form
    32,668.49/45,065.93 = 21,344.63/x
  3. Step 3: Cross multiply
    32,668.49x = 45,065.93 × 21,344.63
  4. Step 4: Simplify right side
    32,668.49x = 961,915,269.40
  5. Step 5: Solve for x
    x = 961,915,269.40/32,668.49
  6. Step 6: Final answer
    x = 29,444.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.