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Finding the Fourth Proportional to 82,752.36, 114,199.74 and 45,027.24

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Solution

The fourth proportional to 82,752.36, 114,199.74 and 45,027.24 is: 62,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,752.36 : 114,199.74 = 45,027.24 : x
  2. Step 2: Convert to fraction form
    82,752.36/114,199.74 = 45,027.24/x
  3. Step 3: Cross multiply
    82,752.36x = 114,199.74 × 45,027.24
  4. Step 4: Simplify right side
    82,752.36x = 5,142,099,100.92
  5. Step 5: Solve for x
    x = 5,142,099,100.92/82,752.36
  6. Step 6: Final answer
    x = 62,138.40

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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.