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Finding the Fourth Proportional to 84,866.24, 127,169.76 and 47,411.84

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Solution

The fourth proportional to 84,866.24, 127,169.76 and 47,411.84 is: 71,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,866.24 : 127,169.76 = 47,411.84 : x
  2. Step 2: Convert to fraction form
    84,866.24/127,169.76 = 47,411.84/x
  3. Step 3: Cross multiply
    84,866.24x = 127,169.76 × 47,411.84
  4. Step 4: Simplify right side
    84,866.24x = 6,029,352,313.96
  5. Step 5: Solve for x
    x = 6,029,352,313.96/84,866.24
  6. Step 6: Final answer
    x = 71,045.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.