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Finding the Fourth Proportional to 99,843.40, 149,677.54 and 37,557.64

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Solution

The fourth proportional to 99,843.40, 149,677.54 and 37,557.64 is: 56,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.40 : 149,677.54 = 37,557.64 : x
  2. Step 2: Convert to fraction form
    99,843.40/149,677.54 = 37,557.64/x
  3. Step 3: Cross multiply
    99,843.40x = 149,677.54 × 37,557.64
  4. Step 4: Simplify right side
    99,843.40x = 5,621,535,163.41
  5. Step 5: Solve for x
    x = 5,621,535,163.41/99,843.40
  6. Step 6: Final answer
    x = 56,303.52

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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.