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Finding the Fourth Proportional to 106,946.47, 160,419.48 and 43,796.02

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Solution

The fourth proportional to 106,946.47, 160,419.48 and 43,796.02 is: 65,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,946.47 : 160,419.48 = 43,796.02 : x
  2. Step 2: Convert to fraction form
    106,946.47/160,419.48 = 43,796.02/x
  3. Step 3: Cross multiply
    106,946.47x = 160,419.48 × 43,796.02
  4. Step 4: Simplify right side
    106,946.47x = 7,025,734,754.47
  5. Step 5: Solve for x
    x = 7,025,734,754.47/106,946.47
  6. Step 6: Final answer
    x = 65,693.94

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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.