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Finding the Fourth Proportional to 46,450.60, 64,102.16 and 25,229.86

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Solution

The fourth proportional to 46,450.60, 64,102.16 and 25,229.86 is: 34,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,450.60 : 64,102.16 = 25,229.86 : x
  2. Step 2: Convert to fraction form
    46,450.60/64,102.16 = 25,229.86/x
  3. Step 3: Cross multiply
    46,450.60x = 64,102.16 × 25,229.86
  4. Step 4: Simplify right side
    46,450.60x = 1,617,288,425.32
  5. Step 5: Solve for x
    x = 1,617,288,425.32/46,450.60
  6. Step 6: Final answer
    x = 34,817.39

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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.