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Finding the Fourth Proportional to 45,547.76, 68,329.84 and 21,835.22

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Solution

The fourth proportional to 45,547.76, 68,329.84 and 21,835.22 is: 32,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,547.76 : 68,329.84 = 21,835.22 : x
  2. Step 2: Convert to fraction form
    45,547.76/68,329.84 = 21,835.22/x
  3. Step 3: Cross multiply
    45,547.76x = 68,329.84 × 21,835.22
  4. Step 4: Simplify right side
    45,547.76x = 1,491,996,692.73
  5. Step 5: Solve for x
    x = 1,491,996,692.73/45,547.76
  6. Step 6: Final answer
    x = 32,756.75

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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.