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Finding the Fourth Proportional to 107,762.80, 161,644.20 and 41,205.10

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Solution

The fourth proportional to 107,762.80, 161,644.20 and 41,205.10 is: 61,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,762.80 : 161,644.20 = 41,205.10 : x
  2. Step 2: Convert to fraction form
    107,762.80/161,644.20 = 41,205.10/x
  3. Step 3: Cross multiply
    107,762.80x = 161,644.20 × 41,205.10
  4. Step 4: Simplify right side
    107,762.80x = 6,660,565,425.42
  5. Step 5: Solve for x
    x = 6,660,565,425.42/107,762.80
  6. Step 6: Final answer
    x = 61,807.65

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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.