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Finding the Fourth Proportional to 34,782.96, 47,823.36 and 30,970.56

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Solution

The fourth proportional to 34,782.96, 47,823.36 and 30,970.56 is: 42,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.96 : 47,823.36 = 30,970.56 : x
  2. Step 2: Convert to fraction form
    34,782.96/47,823.36 = 30,970.56/x
  3. Step 3: Cross multiply
    34,782.96x = 47,823.36 × 30,970.56
  4. Step 4: Simplify right side
    34,782.96x = 1,481,116,240.28
  5. Step 5: Solve for x
    x = 1,481,116,240.28/34,782.96
  6. Step 6: Final answer
    x = 42,581.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.