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Finding the Fourth Proportional to 115,925, 159,976.50 and 65,624

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Solution

The fourth proportional to 115,925, 159,976.50 and 65,624 is: 90,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,925 : 159,976.50 = 65,624 : x
  2. Step 2: Convert to fraction form
    115,925/159,976.50 = 65,624/x
  3. Step 3: Cross multiply
    115,925x = 159,976.50 × 65,624
  4. Step 4: Simplify right side
    115,925x = 10,498,297,836
  5. Step 5: Solve for x
    x = 10,498,297,836/115,925
  6. Step 6: Final answer
    x = 90,561.12

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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.