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Finding the Fourth Proportional to 85,973.22, 128,937.96 and 33,354

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Solution

The fourth proportional to 85,973.22, 128,937.96 and 33,354 is: 50,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,973.22 : 128,937.96 = 33,354 : x
  2. Step 2: Convert to fraction form
    85,973.22/128,937.96 = 33,354/x
  3. Step 3: Cross multiply
    85,973.22x = 128,937.96 × 33,354
  4. Step 4: Simplify right side
    85,973.22x = 4,300,596,717.84
  5. Step 5: Solve for x
    x = 4,300,596,717.84/85,973.22
  6. Step 6: Final answer
    x = 50,022.52

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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.