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Finding the Fourth Proportional to 34,712.56, 47,905.15 and 22,782.88

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Solution

The fourth proportional to 34,712.56, 47,905.15 and 22,782.88 is: 31,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,712.56 : 47,905.15 = 22,782.88 : x
  2. Step 2: Convert to fraction form
    34,712.56/47,905.15 = 22,782.88/x
  3. Step 3: Cross multiply
    34,712.56x = 47,905.15 × 22,782.88
  4. Step 4: Simplify right side
    34,712.56x = 1,091,417,107.11
  5. Step 5: Solve for x
    x = 1,091,417,107.11/34,712.56
  6. Step 6: Final answer
    x = 31,441.56

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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.