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Finding the Fourth Proportional to 82,898.96, 114,361.20 and 56,050.72

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Solution

The fourth proportional to 82,898.96, 114,361.20 and 56,050.72 is: 77,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,898.96 : 114,361.20 = 56,050.72 : x
  2. Step 2: Convert to fraction form
    82,898.96/114,361.20 = 56,050.72/x
  3. Step 3: Cross multiply
    82,898.96x = 114,361.20 × 56,050.72
  4. Step 4: Simplify right side
    82,898.96x = 6,410,027,600.06
  5. Step 5: Solve for x
    x = 6,410,027,600.06/82,898.96
  6. Step 6: Final answer
    x = 77,323.38

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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.