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Finding the Fourth Proportional to 32,442.88, 44,758 and 22,896.64

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Solution

The fourth proportional to 32,442.88, 44,758 and 22,896.64 is: 31,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.88 : 44,758 = 22,896.64 : x
  2. Step 2: Convert to fraction form
    32,442.88/44,758 = 22,896.64/x
  3. Step 3: Cross multiply
    32,442.88x = 44,758 × 22,896.64
  4. Step 4: Simplify right side
    32,442.88x = 1,024,807,813.12
  5. Step 5: Solve for x
    x = 1,024,807,813.12/32,442.88
  6. Step 6: Final answer
    x = 31,588.07

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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.