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Finding the Fourth Proportional to 75,954.66, 113,955.06 and 53,810.88

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Solution

The fourth proportional to 75,954.66, 113,955.06 and 53,810.88 is: 80,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.66 : 113,955.06 = 53,810.88 : x
  2. Step 2: Convert to fraction form
    75,954.66/113,955.06 = 53,810.88/x
  3. Step 3: Cross multiply
    75,954.66x = 113,955.06 × 53,810.88
  4. Step 4: Simplify right side
    75,954.66x = 6,132,022,059.05
  5. Step 5: Solve for x
    x = 6,132,022,059.05/75,954.66
  6. Step 6: Final answer
    x = 80,732.66

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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.