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Finding the Fourth Proportional to 116,404.56, 174,460.80 and 49,766.40

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Solution

The fourth proportional to 116,404.56, 174,460.80 and 49,766.40 is: 74,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,404.56 : 174,460.80 = 49,766.40 : x
  2. Step 2: Convert to fraction form
    116,404.56/174,460.80 = 49,766.40/x
  3. Step 3: Cross multiply
    116,404.56x = 174,460.80 × 49,766.40
  4. Step 4: Simplify right side
    116,404.56x = 8,682,285,957.12
  5. Step 5: Solve for x
    x = 8,682,285,957.12/116,404.56
  6. Step 6: Final answer
    x = 74,587.16

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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.