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Finding the Fourth Proportional to 30,505.30, 42,097.34 and 17,076.58

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Solution

The fourth proportional to 30,505.30, 42,097.34 and 17,076.58 is: 23,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.30 : 42,097.34 = 17,076.58 : x
  2. Step 2: Convert to fraction form
    30,505.30/42,097.34 = 17,076.58/x
  3. Step 3: Cross multiply
    30,505.30x = 42,097.34 × 17,076.58
  4. Step 4: Simplify right side
    30,505.30x = 718,878,614.16
  5. Step 5: Solve for x
    x = 718,878,614.16/30,505.30
  6. Step 6: Final answer
    x = 23,565.69

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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.