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Finding the Fourth Proportional to 76,095.72, 114,170.64 and 33,972

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Solution

The fourth proportional to 76,095.72, 114,170.64 and 33,972 is: 50,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,095.72 : 114,170.64 = 33,972 : x
  2. Step 2: Convert to fraction form
    76,095.72/114,170.64 = 33,972/x
  3. Step 3: Cross multiply
    76,095.72x = 114,170.64 × 33,972
  4. Step 4: Simplify right side
    76,095.72x = 3,878,604,982.08
  5. Step 5: Solve for x
    x = 3,878,604,982.08/76,095.72
  6. Step 6: Final answer
    x = 50,970.08

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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.