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Finding the Fourth Proportional to 65,576.76, 98,365.14 and 30,475.41

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Solution

The fourth proportional to 65,576.76, 98,365.14 and 30,475.41 is: 45,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576.76 : 98,365.14 = 30,475.41 : x
  2. Step 2: Convert to fraction form
    65,576.76/98,365.14 = 30,475.41/x
  3. Step 3: Cross multiply
    65,576.76x = 98,365.14 × 30,475.41
  4. Step 4: Simplify right side
    65,576.76x = 2,997,717,971.21
  5. Step 5: Solve for x
    x = 2,997,717,971.21/65,576.76
  6. Step 6: Final answer
    x = 45,713.12

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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.