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Finding the Fourth Proportional to 76,616.30, 114,924.45 and 53,288.30

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Solution

The fourth proportional to 76,616.30, 114,924.45 and 53,288.30 is: 79,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,616.30 : 114,924.45 = 53,288.30 : x
  2. Step 2: Convert to fraction form
    76,616.30/114,924.45 = 53,288.30/x
  3. Step 3: Cross multiply
    76,616.30x = 114,924.45 × 53,288.30
  4. Step 4: Simplify right side
    76,616.30x = 6,124,128,568.94
  5. Step 5: Solve for x
    x = 6,124,128,568.94/76,616.30
  6. Step 6: Final answer
    x = 79,932.45

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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.