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Finding the Fourth Proportional to 82,671.96, 113,981.64 and 53,548.92

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Solution

The fourth proportional to 82,671.96, 113,981.64 and 53,548.92 is: 73,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,671.96 : 113,981.64 = 53,548.92 : x
  2. Step 2: Convert to fraction form
    82,671.96/113,981.64 = 53,548.92/x
  3. Step 3: Cross multiply
    82,671.96x = 113,981.64 × 53,548.92
  4. Step 4: Simplify right side
    82,671.96x = 6,103,593,721.83
  5. Step 5: Solve for x
    x = 6,103,593,721.83/82,671.96
  6. Step 6: Final answer
    x = 73,829.07

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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.