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Finding the Fourth Proportional to 126,232, 189,349.44 and 32,732.08

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Solution

The fourth proportional to 126,232, 189,349.44 and 32,732.08 is: 49,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,232 : 189,349.44 = 32,732.08 : x
  2. Step 2: Convert to fraction form
    126,232/189,349.44 = 32,732.08/x
  3. Step 3: Cross multiply
    126,232x = 189,349.44 × 32,732.08
  4. Step 4: Simplify right side
    126,232x = 6,197,801,018.04
  5. Step 5: Solve for x
    x = 6,197,801,018.04/126,232
  6. Step 6: Final answer
    x = 49,098.49

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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.