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Finding the Fourth Proportional to 74,075.52, 111,124.80 and 24,816

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Solution

The fourth proportional to 74,075.52, 111,124.80 and 24,816 is: 37,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,075.52 : 111,124.80 = 24,816 : x
  2. Step 2: Convert to fraction form
    74,075.52/111,124.80 = 24,816/x
  3. Step 3: Cross multiply
    74,075.52x = 111,124.80 × 24,816
  4. Step 4: Simplify right side
    74,075.52x = 2,757,673,036.80
  5. Step 5: Solve for x
    x = 2,757,673,036.80/74,075.52
  6. Step 6: Final answer
    x = 37,227.86

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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.