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Finding the Fourth Proportional to 116,605.40, 174,865.16 and 41,705.24

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Solution

The fourth proportional to 116,605.40, 174,865.16 and 41,705.24 is: 62,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,605.40 : 174,865.16 = 41,705.24 : x
  2. Step 2: Convert to fraction form
    116,605.40/174,865.16 = 41,705.24/x
  3. Step 3: Cross multiply
    116,605.40x = 174,865.16 × 41,705.24
  4. Step 4: Simplify right side
    116,605.40x = 7,292,793,465.44
  5. Step 5: Solve for x
    x = 7,292,793,465.44/116,605.40
  6. Step 6: Final answer
    x = 62,542.50

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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.