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Finding the Fourth Proportional to 46,278.65, 69,409.14 and 22,562.39

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Solution

The fourth proportional to 46,278.65, 69,409.14 and 22,562.39 is: 33,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,278.65 : 69,409.14 = 22,562.39 : x
  2. Step 2: Convert to fraction form
    46,278.65/69,409.14 = 22,562.39/x
  3. Step 3: Cross multiply
    46,278.65x = 69,409.14 × 22,562.39
  4. Step 4: Simplify right side
    46,278.65x = 1,566,036,086.24
  5. Step 5: Solve for x
    x = 1,566,036,086.24/46,278.65
  6. Step 6: Final answer
    x = 33,839.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.