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Finding the Fourth Proportional to 34,765.61, 47,975.96 and 19,657.76

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Solution

The fourth proportional to 34,765.61, 47,975.96 and 19,657.76 is: 27,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,765.61 : 47,975.96 = 19,657.76 : x
  2. Step 2: Convert to fraction form
    34,765.61/47,975.96 = 19,657.76/x
  3. Step 3: Cross multiply
    34,765.61x = 47,975.96 × 19,657.76
  4. Step 4: Simplify right side
    34,765.61x = 943,099,716.71
  5. Step 5: Solve for x
    x = 943,099,716.71/34,765.61
  6. Step 6: Final answer
    x = 27,127.38

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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.