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Finding the Fourth Proportional to 32,420.39, 44,738.51 and 18,274.14

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Solution

The fourth proportional to 32,420.39, 44,738.51 and 18,274.14 is: 25,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420.39 : 44,738.51 = 18,274.14 : x
  2. Step 2: Convert to fraction form
    32,420.39/44,738.51 = 18,274.14/x
  3. Step 3: Cross multiply
    32,420.39x = 44,738.51 × 18,274.14
  4. Step 4: Simplify right side
    32,420.39x = 817,557,703.76
  5. Step 5: Solve for x
    x = 817,557,703.76/32,420.39
  6. Step 6: Final answer
    x = 25,217.40

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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.