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Finding the Fourth Proportional to 55,814.40, 83,721.60 and 48,297.60

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Solution

The fourth proportional to 55,814.40, 83,721.60 and 48,297.60 is: 72,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,814.40 : 83,721.60 = 48,297.60 : x
  2. Step 2: Convert to fraction form
    55,814.40/83,721.60 = 48,297.60/x
  3. Step 3: Cross multiply
    55,814.40x = 83,721.60 × 48,297.60
  4. Step 4: Simplify right side
    55,814.40x = 4,043,552,348.16
  5. Step 5: Solve for x
    x = 4,043,552,348.16/55,814.40
  6. Step 6: Final answer
    x = 72,446.40

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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.