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Finding the Fourth Proportional to 116,055.52, 174,073.56 and 45,916

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Solution

The fourth proportional to 116,055.52, 174,073.56 and 45,916 is: 68,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,055.52 : 174,073.56 = 45,916 : x
  2. Step 2: Convert to fraction form
    116,055.52/174,073.56 = 45,916/x
  3. Step 3: Cross multiply
    116,055.52x = 174,073.56 × 45,916
  4. Step 4: Simplify right side
    116,055.52x = 7,992,761,580.96
  5. Step 5: Solve for x
    x = 7,992,761,580.96/116,055.52
  6. Step 6: Final answer
    x = 68,870.15

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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.