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Finding the Fourth Proportional to 109,575.68, 164,373.76 and 50,427.84

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Solution

The fourth proportional to 109,575.68, 164,373.76 and 50,427.84 is: 75,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,575.68 : 164,373.76 = 50,427.84 : x
  2. Step 2: Convert to fraction form
    109,575.68/164,373.76 = 50,427.84/x
  3. Step 3: Cross multiply
    109,575.68x = 164,373.76 × 50,427.84
  4. Step 4: Simplify right side
    109,575.68x = 8,289,013,669.48
  5. Step 5: Solve for x
    x = 8,289,013,669.48/109,575.68
  6. Step 6: Final answer
    x = 75,646.47

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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.