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Finding the Fourth Proportional to 57,746.34, 79,766.43 and 46,458.36

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Solution

The fourth proportional to 57,746.34, 79,766.43 and 46,458.36 is: 64,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746.34 : 79,766.43 = 46,458.36 : x
  2. Step 2: Convert to fraction form
    57,746.34/79,766.43 = 46,458.36/x
  3. Step 3: Cross multiply
    57,746.34x = 79,766.43 × 46,458.36
  4. Step 4: Simplify right side
    57,746.34x = 3,705,817,520.85
  5. Step 5: Solve for x
    x = 3,705,817,520.85/57,746.34
  6. Step 6: Final answer
    x = 64,174.07

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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.