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Finding the Fourth Proportional to 54,606.78, 81,909.36 and 17,670.78

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Solution

The fourth proportional to 54,606.78, 81,909.36 and 17,670.78 is: 26,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,606.78 : 81,909.36 = 17,670.78 : x
  2. Step 2: Convert to fraction form
    54,606.78/81,909.36 = 17,670.78/x
  3. Step 3: Cross multiply
    54,606.78x = 81,909.36 × 17,670.78
  4. Step 4: Simplify right side
    54,606.78x = 1,447,402,280.50
  5. Step 5: Solve for x
    x = 1,447,402,280.50/54,606.78
  6. Step 6: Final answer
    x = 26,505.91

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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.