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Finding the Fourth Proportional to 30,505.38, 42,097.20 and 17,076.60

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Solution

The fourth proportional to 30,505.38, 42,097.20 and 17,076.60 is: 23,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.38 : 42,097.20 = 17,076.60 : x
  2. Step 2: Convert to fraction form
    30,505.38/42,097.20 = 17,076.60/x
  3. Step 3: Cross multiply
    30,505.38x = 42,097.20 × 17,076.60
  4. Step 4: Simplify right side
    30,505.38x = 718,877,045.52
  5. Step 5: Solve for x
    x = 718,877,045.52/30,505.38
  6. Step 6: Final answer
    x = 23,565.58

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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.