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Finding the Fourth Proportional to 105,421.68, 145,471.44 and 60,096

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Solution

The fourth proportional to 105,421.68, 145,471.44 and 60,096 is: 82,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,421.68 : 145,471.44 = 60,096 : x
  2. Step 2: Convert to fraction form
    105,421.68/145,471.44 = 60,096/x
  3. Step 3: Cross multiply
    105,421.68x = 145,471.44 × 60,096
  4. Step 4: Simplify right side
    105,421.68x = 8,742,251,658.24
  5. Step 5: Solve for x
    x = 8,742,251,658.24/105,421.68
  6. Step 6: Final answer
    x = 82,926.51

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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.