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Finding the Fourth Proportional to 103,145.94, 154,743.08 and 32,064.93

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Solution

The fourth proportional to 103,145.94, 154,743.08 and 32,064.93 is: 48,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,145.94 : 154,743.08 = 32,064.93 : x
  2. Step 2: Convert to fraction form
    103,145.94/154,743.08 = 32,064.93/x
  3. Step 3: Cross multiply
    103,145.94x = 154,743.08 × 32,064.93
  4. Step 4: Simplify right side
    103,145.94x = 4,961,825,867.86
  5. Step 5: Solve for x
    x = 4,961,825,867.86/103,145.94
  6. Step 6: Final answer
    x = 48,104.91

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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.