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Finding the Fourth Proportional to 100,732.60, 151,098.90 and 30,602.80

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Solution

The fourth proportional to 100,732.60, 151,098.90 and 30,602.80 is: 45,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,732.60 : 151,098.90 = 30,602.80 : x
  2. Step 2: Convert to fraction form
    100,732.60/151,098.90 = 30,602.80/x
  3. Step 3: Cross multiply
    100,732.60x = 151,098.90 × 30,602.80
  4. Step 4: Simplify right side
    100,732.60x = 4,624,049,416.92
  5. Step 5: Solve for x
    x = 4,624,049,416.92/100,732.60
  6. Step 6: Final answer
    x = 45,904.20

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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.