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Finding the Fourth Proportional to 52,456.32, 78,278.76 and 46,849.32

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Solution

The fourth proportional to 52,456.32, 78,278.76 and 46,849.32 is: 69,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,456.32 : 78,278.76 = 46,849.32 : x
  2. Step 2: Convert to fraction form
    52,456.32/78,278.76 = 46,849.32/x
  3. Step 3: Cross multiply
    52,456.32x = 78,278.76 × 46,849.32
  4. Step 4: Simplify right side
    52,456.32x = 3,667,306,676.44
  5. Step 5: Solve for x
    x = 3,667,306,676.44/52,456.32
  6. Step 6: Final answer
    x = 69,911.63

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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.