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Finding the Fourth Proportional to 46,142.90, 63,677.22 and 24,922.16

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Solution

The fourth proportional to 46,142.90, 63,677.22 and 24,922.16 is: 34,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,142.90 : 63,677.22 = 24,922.16 : x
  2. Step 2: Convert to fraction form
    46,142.90/63,677.22 = 24,922.16/x
  3. Step 3: Cross multiply
    46,142.90x = 63,677.22 × 24,922.16
  4. Step 4: Simplify right side
    46,142.90x = 1,586,973,865.20
  5. Step 5: Solve for x
    x = 1,586,973,865.20/46,142.90
  6. Step 6: Final answer
    x = 34,392.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.