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Finding the Fourth Proportional to 114,406.36, 171,607.06 and 31,300.36

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Solution

The fourth proportional to 114,406.36, 171,607.06 and 31,300.36 is: 46,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,406.36 : 171,607.06 = 31,300.36 : x
  2. Step 2: Convert to fraction form
    114,406.36/171,607.06 = 31,300.36/x
  3. Step 3: Cross multiply
    114,406.36x = 171,607.06 × 31,300.36
  4. Step 4: Simplify right side
    114,406.36x = 5,371,362,756.54
  5. Step 5: Solve for x
    x = 5,371,362,756.54/114,406.36
  6. Step 6: Final answer
    x = 46,949.86

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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.