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Finding the Fourth Proportional to 76,976, 115,467.36 and 24,389.36

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Solution

The fourth proportional to 76,976, 115,467.36 and 24,389.36 is: 36,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,976 : 115,467.36 = 24,389.36 : x
  2. Step 2: Convert to fraction form
    76,976/115,467.36 = 24,389.36/x
  3. Step 3: Cross multiply
    76,976x = 115,467.36 × 24,389.36
  4. Step 4: Simplify right side
    76,976x = 2,816,175,011.29
  5. Step 5: Solve for x
    x = 2,816,175,011.29/76,976
  6. Step 6: Final answer
    x = 36,585.10

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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.