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Finding the Fourth Proportional to 84,384.63, 116,450.49 and 47,587.92

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Solution

The fourth proportional to 84,384.63, 116,450.49 and 47,587.92 is: 65,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,384.63 : 116,450.49 = 47,587.92 : x
  2. Step 2: Convert to fraction form
    84,384.63/116,450.49 = 47,587.92/x
  3. Step 3: Cross multiply
    84,384.63x = 116,450.49 × 47,587.92
  4. Step 4: Simplify right side
    84,384.63x = 5,541,636,602.08
  5. Step 5: Solve for x
    x = 5,541,636,602.08/84,384.63
  6. Step 6: Final answer
    x = 65,671.16

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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.