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Finding the Fourth Proportional to 36,036.92, 54,055.38 and 11,411

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Solution

The fourth proportional to 36,036.92, 54,055.38 and 11,411 is: 17,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,036.92 : 54,055.38 = 11,411 : x
  2. Step 2: Convert to fraction form
    36,036.92/54,055.38 = 11,411/x
  3. Step 3: Cross multiply
    36,036.92x = 54,055.38 × 11,411
  4. Step 4: Simplify right side
    36,036.92x = 616,825,941.18
  5. Step 5: Solve for x
    x = 616,825,941.18/36,036.92
  6. Step 6: Final answer
    x = 17,116.50

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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.