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Finding the Fourth Proportional to 116,064.54, 174,109.32 and 49,511.70

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Solution

The fourth proportional to 116,064.54, 174,109.32 and 49,511.70 is: 74,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,064.54 : 174,109.32 = 49,511.70 : x
  2. Step 2: Convert to fraction form
    116,064.54/174,109.32 = 49,511.70/x
  3. Step 3: Cross multiply
    116,064.54x = 174,109.32 × 49,511.70
  4. Step 4: Simplify right side
    116,064.54x = 8,620,448,419.04
  5. Step 5: Solve for x
    x = 8,620,448,419.04/116,064.54
  6. Step 6: Final answer
    x = 74,272.89

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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.