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Finding the Fourth Proportional to 99,812.59, 149,698.64 and 36,611.20

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Solution

The fourth proportional to 99,812.59, 149,698.64 and 36,611.20 is: 54,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,812.59 : 149,698.64 = 36,611.20 : x
  2. Step 2: Convert to fraction form
    99,812.59/149,698.64 = 36,611.20/x
  3. Step 3: Cross multiply
    99,812.59x = 149,698.64 × 36,611.20
  4. Step 4: Simplify right side
    99,812.59x = 5,480,646,848.77
  5. Step 5: Solve for x
    x = 5,480,646,848.77/99,812.59
  6. Step 6: Final answer
    x = 54,909.37

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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.