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Finding the Fourth Proportional to 55,011, 75,934.86 and 32,655

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Solution

The fourth proportional to 55,011, 75,934.86 and 32,655 is: 45,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,011 : 75,934.86 = 32,655 : x
  2. Step 2: Convert to fraction form
    55,011/75,934.86 = 32,655/x
  3. Step 3: Cross multiply
    55,011x = 75,934.86 × 32,655
  4. Step 4: Simplify right side
    55,011x = 2,479,652,853.30
  5. Step 5: Solve for x
    x = 2,479,652,853.30/55,011
  6. Step 6: Final answer
    x = 45,075.58

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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.