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Finding the Fourth Proportional to 55,790.49, 83,685.72 and 14,237.49

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Solution

The fourth proportional to 55,790.49, 83,685.72 and 14,237.49 is: 21,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,790.49 : 83,685.72 = 14,237.49 : x
  2. Step 2: Convert to fraction form
    55,790.49/83,685.72 = 14,237.49/x
  3. Step 3: Cross multiply
    55,790.49x = 83,685.72 × 14,237.49
  4. Step 4: Simplify right side
    55,790.49x = 1,191,474,601.64
  5. Step 5: Solve for x
    x = 1,191,474,601.64/55,790.49
  6. Step 6: Final answer
    x = 21,356.23

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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.