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Finding the Fourth Proportional to 30,505.94, 42,098.91 and 17,076.86

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Solution

The fourth proportional to 30,505.94, 42,098.91 and 17,076.86 is: 23,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.94 : 42,098.91 = 17,076.86 : x
  2. Step 2: Convert to fraction form
    30,505.94/42,098.91 = 17,076.86/x
  3. Step 3: Cross multiply
    30,505.94x = 42,098.91 × 17,076.86
  4. Step 4: Simplify right side
    30,505.94x = 718,917,192.22
  5. Step 5: Solve for x
    x = 718,917,192.22/30,505.94
  6. Step 6: Final answer
    x = 23,566.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.