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Finding the Fourth Proportional to 38,782.80, 53,521.84 and 22,017.36

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Solution

The fourth proportional to 38,782.80, 53,521.84 and 22,017.36 is: 30,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.80 : 53,521.84 = 22,017.36 : x
  2. Step 2: Convert to fraction form
    38,782.80/53,521.84 = 22,017.36/x
  3. Step 3: Cross multiply
    38,782.80x = 53,521.84 × 22,017.36
  4. Step 4: Simplify right side
    38,782.80x = 1,178,409,619.14
  5. Step 5: Solve for x
    x = 1,178,409,619.14/38,782.80
  6. Step 6: Final answer
    x = 30,384.85

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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.