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Finding the Fourth Proportional to 48,327.84, 72,503.28 and 20,628

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Solution

The fourth proportional to 48,327.84, 72,503.28 and 20,628 is: 30,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,327.84 : 72,503.28 = 20,628 : x
  2. Step 2: Convert to fraction form
    48,327.84/72,503.28 = 20,628/x
  3. Step 3: Cross multiply
    48,327.84x = 72,503.28 × 20,628
  4. Step 4: Simplify right side
    48,327.84x = 1,495,597,659.84
  5. Step 5: Solve for x
    x = 1,495,597,659.84/48,327.84
  6. Step 6: Final answer
    x = 30,946.92

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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.