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Finding the Fourth Proportional to 52,711.80, 72,739.56 and 30,051.40

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Solution

The fourth proportional to 52,711.80, 72,739.56 and 30,051.40 is: 41,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,711.80 : 72,739.56 = 30,051.40 : x
  2. Step 2: Convert to fraction form
    52,711.80/72,739.56 = 30,051.40/x
  3. Step 3: Cross multiply
    52,711.80x = 72,739.56 × 30,051.40
  4. Step 4: Simplify right side
    52,711.80x = 2,185,925,613.38
  5. Step 5: Solve for x
    x = 2,185,925,613.38/52,711.80
  6. Step 6: Final answer
    x = 41,469.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.