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Finding the Fourth Proportional to 92,633.36, 138,969.48 and 30,299

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Solution

The fourth proportional to 92,633.36, 138,969.48 and 30,299 is: 45,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,633.36 : 138,969.48 = 30,299 : x
  2. Step 2: Convert to fraction form
    92,633.36/138,969.48 = 30,299/x
  3. Step 3: Cross multiply
    92,633.36x = 138,969.48 × 30,299
  4. Step 4: Simplify right side
    92,633.36x = 4,210,636,274.52
  5. Step 5: Solve for x
    x = 4,210,636,274.52/92,633.36
  6. Step 6: Final answer
    x = 45,454.86

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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.