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Finding the Fourth Proportional to 91,622.40, 126,432.64 and 50,784

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Solution

The fourth proportional to 91,622.40, 126,432.64 and 50,784 is: 70,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,622.40 : 126,432.64 = 50,784 : x
  2. Step 2: Convert to fraction form
    91,622.40/126,432.64 = 50,784/x
  3. Step 3: Cross multiply
    91,622.40x = 126,432.64 × 50,784
  4. Step 4: Simplify right side
    91,622.40x = 6,420,755,189.76
  5. Step 5: Solve for x
    x = 6,420,755,189.76/91,622.40
  6. Step 6: Final answer
    x = 70,078.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.