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Finding the Fourth Proportional to 35,164.66, 52,753.65 and 11,470.22

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Solution

The fourth proportional to 35,164.66, 52,753.65 and 11,470.22 is: 17,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,164.66 : 52,753.65 = 11,470.22 : x
  2. Step 2: Convert to fraction form
    35,164.66/52,753.65 = 11,470.22/x
  3. Step 3: Cross multiply
    35,164.66x = 52,753.65 × 11,470.22
  4. Step 4: Simplify right side
    35,164.66x = 605,095,971.30
  5. Step 5: Solve for x
    x = 605,095,971.30/35,164.66
  6. Step 6: Final answer
    x = 17,207.50

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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.