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Finding the Fourth Proportional to 60,156, 83,014.08 and 33,298.50

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Solution

The fourth proportional to 60,156, 83,014.08 and 33,298.50 is: 45,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,156 : 83,014.08 = 33,298.50 : x
  2. Step 2: Convert to fraction form
    60,156/83,014.08 = 33,298.50/x
  3. Step 3: Cross multiply
    60,156x = 83,014.08 × 33,298.50
  4. Step 4: Simplify right side
    60,156x = 2,764,244,342.88
  5. Step 5: Solve for x
    x = 2,764,244,342.88/60,156
  6. Step 6: Final answer
    x = 45,951.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.