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Finding the Fourth Proportional to 106,477.38, 159,752.52 and 47,354.27

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Solution

The fourth proportional to 106,477.38, 159,752.52 and 47,354.27 is: 71,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,477.38 : 159,752.52 = 47,354.27 : x
  2. Step 2: Convert to fraction form
    106,477.38/159,752.52 = 47,354.27/x
  3. Step 3: Cross multiply
    106,477.38x = 159,752.52 × 47,354.27
  4. Step 4: Simplify right side
    106,477.38x = 7,564,963,166.50
  5. Step 5: Solve for x
    x = 7,564,963,166.50/106,477.38
  6. Step 6: Final answer
    x = 71,047.61

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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.