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Finding the Fourth Proportional to 126,007.25, 189,014.52 and 32,513

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Solution

The fourth proportional to 126,007.25, 189,014.52 and 32,513 is: 48,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,007.25 : 189,014.52 = 32,513 : x
  2. Step 2: Convert to fraction form
    126,007.25/189,014.52 = 32,513/x
  3. Step 3: Cross multiply
    126,007.25x = 189,014.52 × 32,513
  4. Step 4: Simplify right side
    126,007.25x = 6,145,429,088.76
  5. Step 5: Solve for x
    x = 6,145,429,088.76/126,007.25
  6. Step 6: Final answer
    x = 48,770.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.