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Finding the Fourth Proportional to 116,294.84, 174,451.80 and 49,735.52

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Solution

The fourth proportional to 116,294.84, 174,451.80 and 49,735.52 is: 74,607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,294.84 : 174,451.80 = 49,735.52 : x
  2. Step 2: Convert to fraction form
    116,294.84/174,451.80 = 49,735.52/x
  3. Step 3: Cross multiply
    116,294.84x = 174,451.80 × 49,735.52
  4. Step 4: Simplify right side
    116,294.84x = 8,676,450,987.94
  5. Step 5: Solve for x
    x = 8,676,450,987.94/116,294.84
  6. Step 6: Final answer
    x = 74,607.36

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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.