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Finding the Fourth Proportional to 32,646.47, 45,074.11 and 20,400.46

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Solution

The fourth proportional to 32,646.47, 45,074.11 and 20,400.46 is: 28,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.47 : 45,074.11 = 20,400.46 : x
  2. Step 2: Convert to fraction form
    32,646.47/45,074.11 = 20,400.46/x
  3. Step 3: Cross multiply
    32,646.47x = 45,074.11 × 20,400.46
  4. Step 4: Simplify right side
    32,646.47x = 919,532,709.20
  5. Step 5: Solve for x
    x = 919,532,709.20/32,646.47
  6. Step 6: Final answer
    x = 28,166.38

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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.