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Finding the Fourth Proportional to 82,893.64, 114,410.90 and 54,601.80

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Solution

The fourth proportional to 82,893.64, 114,410.90 and 54,601.80 is: 75,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893.64 : 114,410.90 = 54,601.80 : x
  2. Step 2: Convert to fraction form
    82,893.64/114,410.90 = 54,601.80/x
  3. Step 3: Cross multiply
    82,893.64x = 114,410.90 × 54,601.80
  4. Step 4: Simplify right side
    82,893.64x = 6,247,041,079.62
  5. Step 5: Solve for x
    x = 6,247,041,079.62/82,893.64
  6. Step 6: Final answer
    x = 75,362.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.