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Finding the Fourth Proportional to 30,470.64, 42,049.12 and 17,041.68

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Solution

The fourth proportional to 30,470.64, 42,049.12 and 17,041.68 is: 23,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.64 : 42,049.12 = 17,041.68 : x
  2. Step 2: Convert to fraction form
    30,470.64/42,049.12 = 17,041.68/x
  3. Step 3: Cross multiply
    30,470.64x = 42,049.12 × 17,041.68
  4. Step 4: Simplify right side
    30,470.64x = 716,587,647.32
  5. Step 5: Solve for x
    x = 716,587,647.32/30,470.64
  6. Step 6: Final answer
    x = 23,517.32

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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.