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Finding the Fourth Proportional to 30,434.49, 42,000.48 and 17,007.24

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Solution

The fourth proportional to 30,434.49, 42,000.48 and 17,007.24 is: 23,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.49 : 42,000.48 = 17,007.24 : x
  2. Step 2: Convert to fraction form
    30,434.49/42,000.48 = 17,007.24/x
  3. Step 3: Cross multiply
    30,434.49x = 42,000.48 × 17,007.24
  4. Step 4: Simplify right side
    30,434.49x = 714,312,243.48
  5. Step 5: Solve for x
    x = 714,312,243.48/30,434.49
  6. Step 6: Final answer
    x = 23,470.49

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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.