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Finding the Fourth Proportional to 42,645.52, 63,968.28 and 21,855.76

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Solution

The fourth proportional to 42,645.52, 63,968.28 and 21,855.76 is: 32,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,645.52 : 63,968.28 = 21,855.76 : x
  2. Step 2: Convert to fraction form
    42,645.52/63,968.28 = 21,855.76/x
  3. Step 3: Cross multiply
    42,645.52x = 63,968.28 × 21,855.76
  4. Step 4: Simplify right side
    42,645.52x = 1,398,075,375.29
  5. Step 5: Solve for x
    x = 1,398,075,375.29/42,645.52
  6. Step 6: Final answer
    x = 32,783.64

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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.