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Finding the Fourth Proportional to 82,827.90, 114,303.87 and 47,018.97

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Solution

The fourth proportional to 82,827.90, 114,303.87 and 47,018.97 is: 64,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827.90 : 114,303.87 = 47,018.97 : x
  2. Step 2: Convert to fraction form
    82,827.90/114,303.87 = 47,018.97/x
  3. Step 3: Cross multiply
    82,827.90x = 114,303.87 × 47,018.97
  4. Step 4: Simplify right side
    82,827.90x = 5,374,450,234.41
  5. Step 5: Solve for x
    x = 5,374,450,234.41/82,827.90
  6. Step 6: Final answer
    x = 64,886.96

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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.