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Finding the Fourth Proportional to 106,953.92, 160,485.60 and 43,820

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Solution

The fourth proportional to 106,953.92, 160,485.60 and 43,820 is: 65,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,953.92 : 160,485.60 = 43,820 : x
  2. Step 2: Convert to fraction form
    106,953.92/160,485.60 = 43,820/x
  3. Step 3: Cross multiply
    106,953.92x = 160,485.60 × 43,820
  4. Step 4: Simplify right side
    106,953.92x = 7,032,478,992
  5. Step 5: Solve for x
    x = 7,032,478,992/106,953.92
  6. Step 6: Final answer
    x = 65,752.42

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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.