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Finding the Fourth Proportional to 30,470.68, 42,048.30 and 17,041.24

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Solution

The fourth proportional to 30,470.68, 42,048.30 and 17,041.24 is: 23,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.68 : 42,048.30 = 17,041.24 : x
  2. Step 2: Convert to fraction form
    30,470.68/42,048.30 = 17,041.24/x
  3. Step 3: Cross multiply
    30,470.68x = 42,048.30 × 17,041.24
  4. Step 4: Simplify right side
    30,470.68x = 716,555,171.89
  5. Step 5: Solve for x
    x = 716,555,171.89/30,470.68
  6. Step 6: Final answer
    x = 23,516.22

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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.