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Finding the Fourth Proportional to 75,851.56, 113,875.90 and 58,333.80

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Solution

The fourth proportional to 75,851.56, 113,875.90 and 58,333.80 is: 87,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,851.56 : 113,875.90 = 58,333.80 : x
  2. Step 2: Convert to fraction form
    75,851.56/113,875.90 = 58,333.80/x
  3. Step 3: Cross multiply
    75,851.56x = 113,875.90 × 58,333.80
  4. Step 4: Simplify right side
    75,851.56x = 6,642,813,975.42
  5. Step 5: Solve for x
    x = 6,642,813,975.42/75,851.56
  6. Step 6: Final answer
    x = 87,576.50

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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.