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Finding the Fourth Proportional to 101,833.94, 152,751.03 and 35,274.06

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Solution

The fourth proportional to 101,833.94, 152,751.03 and 35,274.06 is: 52,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,833.94 : 152,751.03 = 35,274.06 : x
  2. Step 2: Convert to fraction form
    101,833.94/152,751.03 = 35,274.06/x
  3. Step 3: Cross multiply
    101,833.94x = 152,751.03 × 35,274.06
  4. Step 4: Simplify right side
    101,833.94x = 5,388,148,681.54
  5. Step 5: Solve for x
    x = 5,388,148,681.54/101,833.94
  6. Step 6: Final answer
    x = 52,911.13

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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.