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Finding the Fourth Proportional to 116,319.84, 174,510 and 33,220.32

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Solution

The fourth proportional to 116,319.84, 174,510 and 33,220.32 is: 49,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,319.84 : 174,510 = 33,220.32 : x
  2. Step 2: Convert to fraction form
    116,319.84/174,510 = 33,220.32/x
  3. Step 3: Cross multiply
    116,319.84x = 174,510 × 33,220.32
  4. Step 4: Simplify right side
    116,319.84x = 5,797,278,043.20
  5. Step 5: Solve for x
    x = 5,797,278,043.20/116,319.84
  6. Step 6: Final answer
    x = 49,839.12

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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.