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Finding the Fourth Proportional to 34,852.46, 48,085.80 and 19,742.72

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Solution

The fourth proportional to 34,852.46, 48,085.80 and 19,742.72 is: 27,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,852.46 : 48,085.80 = 19,742.72 : x
  2. Step 2: Convert to fraction form
    34,852.46/48,085.80 = 19,742.72/x
  3. Step 3: Cross multiply
    34,852.46x = 48,085.80 × 19,742.72
  4. Step 4: Simplify right side
    34,852.46x = 949,344,485.38
  5. Step 5: Solve for x
    x = 949,344,485.38/34,852.46
  6. Step 6: Final answer
    x = 27,238.95

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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.