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Finding the Fourth Proportional to 75,052.16, 112,579.20 and 19,648

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Solution

The fourth proportional to 75,052.16, 112,579.20 and 19,648 is: 29,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,052.16 : 112,579.20 = 19,648 : x
  2. Step 2: Convert to fraction form
    75,052.16/112,579.20 = 19,648/x
  3. Step 3: Cross multiply
    75,052.16x = 112,579.20 × 19,648
  4. Step 4: Simplify right side
    75,052.16x = 2,211,956,121.60
  5. Step 5: Solve for x
    x = 2,211,956,121.60/75,052.16
  6. Step 6: Final answer
    x = 29,472.25

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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.