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Finding the Fourth Proportional to 116,619.60, 174,934.92 and 37,740

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Solution

The fourth proportional to 116,619.60, 174,934.92 and 37,740 is: 56,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,619.60 : 174,934.92 = 37,740 : x
  2. Step 2: Convert to fraction form
    116,619.60/174,934.92 = 37,740/x
  3. Step 3: Cross multiply
    116,619.60x = 174,934.92 × 37,740
  4. Step 4: Simplify right side
    116,619.60x = 6,602,043,880.80
  5. Step 5: Solve for x
    x = 6,602,043,880.80/116,619.60
  6. Step 6: Final answer
    x = 56,611.79

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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.