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Finding the Fourth Proportional to 52,891.30, 72,975.42 and 34,039.36

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Solution

The fourth proportional to 52,891.30, 72,975.42 and 34,039.36 is: 46,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,891.30 : 72,975.42 = 34,039.36 : x
  2. Step 2: Convert to fraction form
    52,891.30/72,975.42 = 34,039.36/x
  3. Step 3: Cross multiply
    52,891.30x = 72,975.42 × 34,039.36
  4. Step 4: Simplify right side
    52,891.30x = 2,484,036,227.65
  5. Step 5: Solve for x
    x = 2,484,036,227.65/52,891.30
  6. Step 6: Final answer
    x = 46,964.93

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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.