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Finding the Fourth Proportional to 76,429.80, 114,644.70 and 57,767.40

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Solution

The fourth proportional to 76,429.80, 114,644.70 and 57,767.40 is: 86,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429.80 : 114,644.70 = 57,767.40 : x
  2. Step 2: Convert to fraction form
    76,429.80/114,644.70 = 57,767.40/x
  3. Step 3: Cross multiply
    76,429.80x = 114,644.70 × 57,767.40
  4. Step 4: Simplify right side
    76,429.80x = 6,622,726,242.78
  5. Step 5: Solve for x
    x = 6,622,726,242.78/76,429.80
  6. Step 6: Final answer
    x = 86,651.10

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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.