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Finding the Fourth Proportional to 110,521.30, 165,764.35 and 36,649.30

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Solution

The fourth proportional to 110,521.30, 165,764.35 and 36,649.30 is: 54,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,521.30 : 165,764.35 = 36,649.30 : x
  2. Step 2: Convert to fraction form
    110,521.30/165,764.35 = 36,649.30/x
  3. Step 3: Cross multiply
    110,521.30x = 165,764.35 × 36,649.30
  4. Step 4: Simplify right side
    110,521.30x = 6,075,147,392.46
  5. Step 5: Solve for x
    x = 6,075,147,392.46/110,521.30
  6. Step 6: Final answer
    x = 54,968.11

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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.