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Finding the Fourth Proportional to 52,482.72, 78,376.20 and 46,123.68

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Solution

The fourth proportional to 52,482.72, 78,376.20 and 46,123.68 is: 68,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,482.72 : 78,376.20 = 46,123.68 : x
  2. Step 2: Convert to fraction form
    52,482.72/78,376.20 = 46,123.68/x
  3. Step 3: Cross multiply
    52,482.72x = 78,376.20 × 46,123.68
  4. Step 4: Simplify right side
    52,482.72x = 3,614,998,768.42
  5. Step 5: Solve for x
    x = 3,614,998,768.42/52,482.72
  6. Step 6: Final answer
    x = 68,879.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.