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Finding the Fourth Proportional to 57,154.78, 78,894.30 and 46,525.96

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Solution

The fourth proportional to 57,154.78, 78,894.30 and 46,525.96 is: 64,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,154.78 : 78,894.30 = 46,525.96 : x
  2. Step 2: Convert to fraction form
    57,154.78/78,894.30 = 46,525.96/x
  3. Step 3: Cross multiply
    57,154.78x = 78,894.30 × 46,525.96
  4. Step 4: Simplify right side
    57,154.78x = 3,670,633,046.03
  5. Step 5: Solve for x
    x = 3,670,633,046.03/57,154.78
  6. Step 6: Final answer
    x = 64,222.68

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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.