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Finding the Fourth Proportional to 34,481.76, 47,584.86 and 19,577.76

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Solution

The fourth proportional to 34,481.76, 47,584.86 and 19,577.76 is: 27,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,481.76 : 47,584.86 = 19,577.76 : x
  2. Step 2: Convert to fraction form
    34,481.76/47,584.86 = 19,577.76/x
  3. Step 3: Cross multiply
    34,481.76x = 47,584.86 × 19,577.76
  4. Step 4: Simplify right side
    34,481.76x = 931,604,968.71
  5. Step 5: Solve for x
    x = 931,604,968.71/34,481.76
  6. Step 6: Final answer
    x = 27,017.33

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1.5x scale

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.