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Finding the Fourth Proportional to 84,671.92, 116,823.63 and 52,872.94

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Solution

The fourth proportional to 84,671.92, 116,823.63 and 52,872.94 is: 72,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,671.92 : 116,823.63 = 52,872.94 : x
  2. Step 2: Convert to fraction form
    84,671.92/116,823.63 = 52,872.94/x
  3. Step 3: Cross multiply
    84,671.92x = 116,823.63 × 52,872.94
  4. Step 4: Simplify right side
    84,671.92x = 6,176,808,779.57
  5. Step 5: Solve for x
    x = 6,176,808,779.57/84,671.92
  6. Step 6: Final answer
    x = 72,949.91

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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.