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Finding the Fourth Proportional to 76,895.02, 115,361.16 and 37,443.16

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Solution

The fourth proportional to 76,895.02, 115,361.16 and 37,443.16 is: 56,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,895.02 : 115,361.16 = 37,443.16 : x
  2. Step 2: Convert to fraction form
    76,895.02/115,361.16 = 37,443.16/x
  3. Step 3: Cross multiply
    76,895.02x = 115,361.16 × 37,443.16
  4. Step 4: Simplify right side
    76,895.02x = 4,319,486,371.67
  5. Step 5: Solve for x
    x = 4,319,486,371.67/76,895.02
  6. Step 6: Final answer
    x = 56,173.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.