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Finding the Fourth Proportional to 115,411, 173,116.50 and 27,859

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Solution

The fourth proportional to 115,411, 173,116.50 and 27,859 is: 41,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,411 : 173,116.50 = 27,859 : x
  2. Step 2: Convert to fraction form
    115,411/173,116.50 = 27,859/x
  3. Step 3: Cross multiply
    115,411x = 173,116.50 × 27,859
  4. Step 4: Simplify right side
    115,411x = 4,822,852,573.50
  5. Step 5: Solve for x
    x = 4,822,852,573.50/115,411
  6. Step 6: Final answer
    x = 41,788.50

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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.