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Finding the Fourth Proportional to 50,482.81, 69,665.93 and 27,821.81

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Solution

The fourth proportional to 50,482.81, 69,665.93 and 27,821.81 is: 38,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482.81 : 69,665.93 = 27,821.81 : x
  2. Step 2: Convert to fraction form
    50,482.81/69,665.93 = 27,821.81/x
  3. Step 3: Cross multiply
    50,482.81x = 69,665.93 × 27,821.81
  4. Step 4: Simplify right side
    50,482.81x = 1,938,232,407.32
  5. Step 5: Solve for x
    x = 1,938,232,407.32/50,482.81
  6. Step 6: Final answer
    x = 38,393.91

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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.