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Finding the Fourth Proportional to 71,593.90, 107,382.62 and 19,007.50

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Solution

The fourth proportional to 71,593.90, 107,382.62 and 19,007.50 is: 28,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,593.90 : 107,382.62 = 19,007.50 : x
  2. Step 2: Convert to fraction form
    71,593.90/107,382.62 = 19,007.50/x
  3. Step 3: Cross multiply
    71,593.90x = 107,382.62 × 19,007.50
  4. Step 4: Simplify right side
    71,593.90x = 2,041,075,149.65
  5. Step 5: Solve for x
    x = 2,041,075,149.65/71,593.90
  6. Step 6: Final answer
    x = 28,509.07

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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.