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Finding the Fourth Proportional to 34,225.76, 47,218.56 and 22,299.32

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Solution

The fourth proportional to 34,225.76, 47,218.56 and 22,299.32 is: 30,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225.76 : 47,218.56 = 22,299.32 : x
  2. Step 2: Convert to fraction form
    34,225.76/47,218.56 = 22,299.32/x
  3. Step 3: Cross multiply
    34,225.76x = 47,218.56 × 22,299.32
  4. Step 4: Simplify right side
    34,225.76x = 1,052,941,779.38
  5. Step 5: Solve for x
    x = 1,052,941,779.38/34,225.76
  6. Step 6: Final answer
    x = 30,764.60

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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.