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Finding the Fourth Proportional to 55,669, 83,415.88 and 43,049.60

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Solution

The fourth proportional to 55,669, 83,415.88 and 43,049.60 is: 64,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,669 : 83,415.88 = 43,049.60 : x
  2. Step 2: Convert to fraction form
    55,669/83,415.88 = 43,049.60/x
  3. Step 3: Cross multiply
    55,669x = 83,415.88 × 43,049.60
  4. Step 4: Simplify right side
    55,669x = 3,591,020,267.65
  5. Step 5: Solve for x
    x = 3,591,020,267.65/55,669
  6. Step 6: Final answer
    x = 64,506.64

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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.