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Finding the Fourth Proportional to 106,957.68, 160,434.48 and 36,835.44

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Solution

The fourth proportional to 106,957.68, 160,434.48 and 36,835.44 is: 55,252.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.68 : 160,434.48 = 36,835.44 : x
  2. Step 2: Convert to fraction form
    106,957.68/160,434.48 = 36,835.44/x
  3. Step 3: Cross multiply
    106,957.68x = 160,434.48 × 36,835.44
  4. Step 4: Simplify right side
    106,957.68x = 5,909,674,661.97
  5. Step 5: Solve for x
    x = 5,909,674,661.97/106,957.68
  6. Step 6: Final answer
    x = 55,252.46

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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.