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Finding the Fourth Proportional to 32,106, 44,306.28 and 20,928

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Solution

The fourth proportional to 32,106, 44,306.28 and 20,928 is: 28,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,106 : 44,306.28 = 20,928 : x
  2. Step 2: Convert to fraction form
    32,106/44,306.28 = 20,928/x
  3. Step 3: Cross multiply
    32,106x = 44,306.28 × 20,928
  4. Step 4: Simplify right side
    32,106x = 927,241,827.84
  5. Step 5: Solve for x
    x = 927,241,827.84/32,106
  6. Step 6: Final answer
    x = 28,880.64

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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.