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Finding the Fourth Proportional to 100,509.84, 150,766.20 and 47,924.88

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Solution

The fourth proportional to 100,509.84, 150,766.20 and 47,924.88 is: 71,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.84 : 150,766.20 = 47,924.88 : x
  2. Step 2: Convert to fraction form
    100,509.84/150,766.20 = 47,924.88/x
  3. Step 3: Cross multiply
    100,509.84x = 150,766.20 × 47,924.88
  4. Step 4: Simplify right side
    100,509.84x = 7,225,452,043.06
  5. Step 5: Solve for x
    x = 7,225,452,043.06/100,509.84
  6. Step 6: Final answer
    x = 71,888.01

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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.