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Finding the Fourth Proportional to 48,821.60, 73,232.40 and 42,406.40

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Solution

The fourth proportional to 48,821.60, 73,232.40 and 42,406.40 is: 63,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,821.60 : 73,232.40 = 42,406.40 : x
  2. Step 2: Convert to fraction form
    48,821.60/73,232.40 = 42,406.40/x
  3. Step 3: Cross multiply
    48,821.60x = 73,232.40 × 42,406.40
  4. Step 4: Simplify right side
    48,821.60x = 3,105,522,447.36
  5. Step 5: Solve for x
    x = 3,105,522,447.36/48,821.60
  6. Step 6: Final answer
    x = 63,609.60

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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.