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Finding the Fourth Proportional to 105,678.36, 158,535.36 and 35,541

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Solution

The fourth proportional to 105,678.36, 158,535.36 and 35,541 is: 53,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,678.36 : 158,535.36 = 35,541 : x
  2. Step 2: Convert to fraction form
    105,678.36/158,535.36 = 35,541/x
  3. Step 3: Cross multiply
    105,678.36x = 158,535.36 × 35,541
  4. Step 4: Simplify right side
    105,678.36x = 5,634,505,229.76
  5. Step 5: Solve for x
    x = 5,634,505,229.76/105,678.36
  6. Step 6: Final answer
    x = 53,317.49

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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.