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Finding the Fourth Proportional to 30,457.76, 42,040.61 and 17,713.92

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Solution

The fourth proportional to 30,457.76, 42,040.61 and 17,713.92 is: 24,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.76 : 42,040.61 = 17,713.92 : x
  2. Step 2: Convert to fraction form
    30,457.76/42,040.61 = 17,713.92/x
  3. Step 3: Cross multiply
    30,457.76x = 42,040.61 × 17,713.92
  4. Step 4: Simplify right side
    30,457.76x = 744,704,002.29
  5. Step 5: Solve for x
    x = 744,704,002.29/30,457.76
  6. Step 6: Final answer
    x = 24,450.39

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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.