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Finding the Fourth Proportional to 89,932, 124,106.16 and 50,188

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Solution

The fourth proportional to 89,932, 124,106.16 and 50,188 is: 69,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,932 : 124,106.16 = 50,188 : x
  2. Step 2: Convert to fraction form
    89,932/124,106.16 = 50,188/x
  3. Step 3: Cross multiply
    89,932x = 124,106.16 × 50,188
  4. Step 4: Simplify right side
    89,932x = 6,228,639,958.08
  5. Step 5: Solve for x
    x = 6,228,639,958.08/89,932
  6. Step 6: Final answer
    x = 69,259.44

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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.