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Finding the Fourth Proportional to 97,406.36, 146,021.82 and 35,033

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Solution

The fourth proportional to 97,406.36, 146,021.82 and 35,033 is: 52,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,406.36 : 146,021.82 = 35,033 : x
  2. Step 2: Convert to fraction form
    97,406.36/146,021.82 = 35,033/x
  3. Step 3: Cross multiply
    97,406.36x = 146,021.82 × 35,033
  4. Step 4: Simplify right side
    97,406.36x = 5,115,582,420.06
  5. Step 5: Solve for x
    x = 5,115,582,420.06/97,406.36
  6. Step 6: Final answer
    x = 52,517.95

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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.