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Finding the Fourth Proportional to 65,094.13, 89,828.04 and 36,412.03

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Solution

The fourth proportional to 65,094.13, 89,828.04 and 36,412.03 is: 50,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,094.13 : 89,828.04 = 36,412.03 : x
  2. Step 2: Convert to fraction form
    65,094.13/89,828.04 = 36,412.03/x
  3. Step 3: Cross multiply
    65,094.13x = 89,828.04 × 36,412.03
  4. Step 4: Simplify right side
    65,094.13x = 3,270,821,287.32
  5. Step 5: Solve for x
    x = 3,270,821,287.32/65,094.13
  6. Step 6: Final answer
    x = 50,247.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.