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Finding the Fourth Proportional to 90,348.48, 135,678.24 and 48,824.64

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Solution

The fourth proportional to 90,348.48, 135,678.24 and 48,824.64 is: 73,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,348.48 : 135,678.24 = 48,824.64 : x
  2. Step 2: Convert to fraction form
    90,348.48/135,678.24 = 48,824.64/x
  3. Step 3: Cross multiply
    90,348.48x = 135,678.24 × 48,824.64
  4. Step 4: Simplify right side
    90,348.48x = 6,624,441,223.83
  5. Step 5: Solve for x
    x = 6,624,441,223.83/90,348.48
  6. Step 6: Final answer
    x = 73,321.00

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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.