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Finding the Fourth Proportional to 30,654.65, 42,264.38 and 20,567.12

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Solution

The fourth proportional to 30,654.65, 42,264.38 and 20,567.12 is: 28,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654.65 : 42,264.38 = 20,567.12 : x
  2. Step 2: Convert to fraction form
    30,654.65/42,264.38 = 20,567.12/x
  3. Step 3: Cross multiply
    30,654.65x = 42,264.38 × 20,567.12
  4. Step 4: Simplify right side
    30,654.65x = 869,256,415.28
  5. Step 5: Solve for x
    x = 869,256,415.28/30,654.65
  6. Step 6: Final answer
    x = 28,356.43

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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.