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Finding the Fourth Proportional to 48,448.50, 72,664.35 and 13,378.74

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Solution

The fourth proportional to 48,448.50, 72,664.35 and 13,378.74 is: 20,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,448.50 : 72,664.35 = 13,378.74 : x
  2. Step 2: Convert to fraction form
    48,448.50/72,664.35 = 13,378.74/x
  3. Step 3: Cross multiply
    48,448.50x = 72,664.35 × 13,378.74
  4. Step 4: Simplify right side
    48,448.50x = 972,157,445.92
  5. Step 5: Solve for x
    x = 972,157,445.92/48,448.50
  6. Step 6: Final answer
    x = 20,065.79

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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.