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Finding the Fourth Proportional to 51,802.80, 71,485.11 and 30,574.32

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Solution

The fourth proportional to 51,802.80, 71,485.11 and 30,574.32 is: 42,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802.80 : 71,485.11 = 30,574.32 : x
  2. Step 2: Convert to fraction form
    51,802.80/71,485.11 = 30,574.32/x
  3. Step 3: Cross multiply
    51,802.80x = 71,485.11 × 30,574.32
  4. Step 4: Simplify right side
    51,802.80x = 2,185,608,628.38
  5. Step 5: Solve for x
    x = 2,185,608,628.38/51,802.80
  6. Step 6: Final answer
    x = 42,190.94

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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.