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Finding the Fourth Proportional to 46,454.90, 64,105.34 and 25,234.14

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Solution

The fourth proportional to 46,454.90, 64,105.34 and 25,234.14 is: 34,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,454.90 : 64,105.34 = 25,234.14 : x
  2. Step 2: Convert to fraction form
    46,454.90/64,105.34 = 25,234.14/x
  3. Step 3: Cross multiply
    46,454.90x = 64,105.34 × 25,234.14
  4. Step 4: Simplify right side
    46,454.90x = 1,617,643,124.31
  5. Step 5: Solve for x
    x = 1,617,643,124.31/46,454.90
  6. Step 6: Final answer
    x = 34,821.80

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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.