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Finding the Fourth Proportional to 64,615.81, 97,034.43 and 35,091.31

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Solution

The fourth proportional to 64,615.81, 97,034.43 and 35,091.31 is: 52,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,615.81 : 97,034.43 = 35,091.31 : x
  2. Step 2: Convert to fraction form
    64,615.81/97,034.43 = 35,091.31/x
  3. Step 3: Cross multiply
    64,615.81x = 97,034.43 × 35,091.31
  4. Step 4: Simplify right side
    64,615.81x = 3,405,065,263.80
  5. Step 5: Solve for x
    x = 3,405,065,263.80/64,615.81
  6. Step 6: Final answer
    x = 52,697.09

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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.