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Finding the Fourth Proportional to 34,932.96, 48,206.64 and 20,028

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Solution

The fourth proportional to 34,932.96, 48,206.64 and 20,028 is: 27,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,932.96 : 48,206.64 = 20,028 : x
  2. Step 2: Convert to fraction form
    34,932.96/48,206.64 = 20,028/x
  3. Step 3: Cross multiply
    34,932.96x = 48,206.64 × 20,028
  4. Step 4: Simplify right side
    34,932.96x = 965,482,585.92
  5. Step 5: Solve for x
    x = 965,482,585.92/34,932.96
  6. Step 6: Final answer
    x = 27,638.16

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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.