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Finding the Fourth Proportional to 115,495, 173,242.50 and 27,943

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Solution

The fourth proportional to 115,495, 173,242.50 and 27,943 is: 41,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,495 : 173,242.50 = 27,943 : x
  2. Step 2: Convert to fraction form
    115,495/173,242.50 = 27,943/x
  3. Step 3: Cross multiply
    115,495x = 173,242.50 × 27,943
  4. Step 4: Simplify right side
    115,495x = 4,840,915,177.50
  5. Step 5: Solve for x
    x = 4,840,915,177.50/115,495
  6. Step 6: Final answer
    x = 41,914.50

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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.