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Finding the Fourth Proportional to 132,946.60, 199,361.52 and 49,782.28

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Solution

The fourth proportional to 132,946.60, 199,361.52 and 49,782.28 is: 74,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,946.60 : 199,361.52 = 49,782.28 : x
  2. Step 2: Convert to fraction form
    132,946.60/199,361.52 = 49,782.28/x
  3. Step 3: Cross multiply
    132,946.60x = 199,361.52 × 49,782.28
  4. Step 4: Simplify right side
    132,946.60x = 9,924,671,009.87
  5. Step 5: Solve for x
    x = 9,924,671,009.87/132,946.60
  6. Step 6: Final answer
    x = 74,651.56

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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.