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Finding the Fourth Proportional to 30,470.94, 42,051.02 and 17,042.15

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Solution

The fourth proportional to 30,470.94, 42,051.02 and 17,042.15 is: 23,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.94 : 42,051.02 = 17,042.15 : x
  2. Step 2: Convert to fraction form
    30,470.94/42,051.02 = 17,042.15/x
  3. Step 3: Cross multiply
    30,470.94x = 42,051.02 × 17,042.15
  4. Step 4: Simplify right side
    30,470.94x = 716,639,495.03
  5. Step 5: Solve for x
    x = 716,639,495.03/30,470.94
  6. Step 6: Final answer
    x = 23,518.79

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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.