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Finding the Fourth Proportional to 65,097.86, 97,546.30 and 43,955.03

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Solution

The fourth proportional to 65,097.86, 97,546.30 and 43,955.03 is: 65,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.86 : 97,546.30 = 43,955.03 : x
  2. Step 2: Convert to fraction form
    65,097.86/97,546.30 = 43,955.03/x
  3. Step 3: Cross multiply
    65,097.86x = 97,546.30 × 43,955.03
  4. Step 4: Simplify right side
    65,097.86x = 4,287,650,676.87
  5. Step 5: Solve for x
    x = 4,287,650,676.87/65,097.86
  6. Step 6: Final answer
    x = 65,864.70

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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.