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Finding the Fourth Proportional to 82,903.96, 114,425.94 and 52,683.38

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Solution

The fourth proportional to 82,903.96, 114,425.94 and 52,683.38 is: 72,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,903.96 : 114,425.94 = 52,683.38 : x
  2. Step 2: Convert to fraction form
    82,903.96/114,425.94 = 52,683.38/x
  3. Step 3: Cross multiply
    82,903.96x = 114,425.94 × 52,683.38
  4. Step 4: Simplify right side
    82,903.96x = 6,028,345,278.88
  5. Step 5: Solve for x
    x = 6,028,345,278.88/82,903.96
  6. Step 6: Final answer
    x = 72,714.80

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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.