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Finding the Fourth Proportional to 100,182.10, 150,289.58 and 47,573.82

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Solution

The fourth proportional to 100,182.10, 150,289.58 and 47,573.82 is: 71,368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182.10 : 150,289.58 = 47,573.82 : x
  2. Step 2: Convert to fraction form
    100,182.10/150,289.58 = 47,573.82/x
  3. Step 3: Cross multiply
    100,182.10x = 150,289.58 × 47,573.82
  4. Step 4: Simplify right side
    100,182.10x = 7,149,849,426.80
  5. Step 5: Solve for x
    x = 7,149,849,426.80/100,182.10
  6. Step 6: Final answer
    x = 71,368.53

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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.