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Finding the Fourth Proportional to 114,947.80, 172,437.90 and 36,053.80

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Solution

The fourth proportional to 114,947.80, 172,437.90 and 36,053.80 is: 54,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,947.80 : 172,437.90 = 36,053.80 : x
  2. Step 2: Convert to fraction form
    114,947.80/172,437.90 = 36,053.80/x
  3. Step 3: Cross multiply
    114,947.80x = 172,437.90 × 36,053.80
  4. Step 4: Simplify right side
    114,947.80x = 6,217,041,559.02
  5. Step 5: Solve for x
    x = 6,217,041,559.02/114,947.80
  6. Step 6: Final answer
    x = 54,085.78

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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.