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Finding the Fourth Proportional to 159,782, 239,673.04 and 48,974

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Solution

The fourth proportional to 159,782, 239,673.04 and 48,974 is: 73,461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,782 : 239,673.04 = 48,974 : x
  2. Step 2: Convert to fraction form
    159,782/239,673.04 = 48,974/x
  3. Step 3: Cross multiply
    159,782x = 239,673.04 × 48,974
  4. Step 4: Simplify right side
    159,782x = 11,737,747,460.96
  5. Step 5: Solve for x
    x = 11,737,747,460.96/159,782
  6. Step 6: Final answer
    x = 73,461.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.