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Finding the Fourth Proportional to 46,463.86, 64,114.98 and 25,766.84

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Solution

The fourth proportional to 46,463.86, 64,114.98 and 25,766.84 is: 35,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,463.86 : 64,114.98 = 25,766.84 : x
  2. Step 2: Convert to fraction form
    46,463.86/64,114.98 = 25,766.84/x
  3. Step 3: Cross multiply
    46,463.86x = 64,114.98 × 25,766.84
  4. Step 4: Simplify right side
    46,463.86x = 1,652,040,431.26
  5. Step 5: Solve for x
    x = 1,652,040,431.26/46,463.86
  6. Step 6: Final answer
    x = 35,555.39

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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.