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Finding the Fourth Proportional to 65,576.42, 98,463.04 and 37,528.14

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Solution

The fourth proportional to 65,576.42, 98,463.04 and 37,528.14 is: 56,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576.42 : 98,463.04 = 37,528.14 : x
  2. Step 2: Convert to fraction form
    65,576.42/98,463.04 = 37,528.14/x
  3. Step 3: Cross multiply
    65,576.42x = 98,463.04 × 37,528.14
  4. Step 4: Simplify right side
    65,576.42x = 3,695,134,749.95
  5. Step 5: Solve for x
    x = 3,695,134,749.95/65,576.42
  6. Step 6: Final answer
    x = 56,348.53

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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.