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Finding the Fourth Proportional to 100,295.16, 150,443.70 and 47,709.88

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Solution

The fourth proportional to 100,295.16, 150,443.70 and 47,709.88 is: 71,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.16 : 150,443.70 = 47,709.88 : x
  2. Step 2: Convert to fraction form
    100,295.16/150,443.70 = 47,709.88/x
  3. Step 3: Cross multiply
    100,295.16x = 150,443.70 × 47,709.88
  4. Step 4: Simplify right side
    100,295.16x = 7,177,650,873.76
  5. Step 5: Solve for x
    x = 7,177,650,873.76/100,295.16
  6. Step 6: Final answer
    x = 71,565.28

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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.