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Finding the Fourth Proportional to 114,537.92, 171,804.76 and 47,055.64

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Solution

The fourth proportional to 114,537.92, 171,804.76 and 47,055.64 is: 70,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,537.92 : 171,804.76 = 47,055.64 : x
  2. Step 2: Convert to fraction form
    114,537.92/171,804.76 = 47,055.64/x
  3. Step 3: Cross multiply
    114,537.92x = 171,804.76 × 47,055.64
  4. Step 4: Simplify right side
    114,537.92x = 8,084,382,936.85
  5. Step 5: Solve for x
    x = 8,084,382,936.85/114,537.92
  6. Step 6: Final answer
    x = 70,582.59

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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.