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Finding the Fourth Proportional to 73,700.42, 101,706.92 and 41,871.06

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Solution

The fourth proportional to 73,700.42, 101,706.92 and 41,871.06 is: 57,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,700.42 : 101,706.92 = 41,871.06 : x
  2. Step 2: Convert to fraction form
    73,700.42/101,706.92 = 41,871.06/x
  3. Step 3: Cross multiply
    73,700.42x = 101,706.92 × 41,871.06
  4. Step 4: Simplify right side
    73,700.42x = 4,258,576,340.38
  5. Step 5: Solve for x
    x = 4,258,576,340.38/73,700.42
  6. Step 6: Final answer
    x = 57,782.26

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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.