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Finding the Fourth Proportional to 30,460.14, 42,040.14 and 17,720.70

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Solution

The fourth proportional to 30,460.14, 42,040.14 and 17,720.70 is: 24,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.14 : 42,040.14 = 17,720.70 : x
  2. Step 2: Convert to fraction form
    30,460.14/42,040.14 = 17,720.70/x
  3. Step 3: Cross multiply
    30,460.14x = 42,040.14 × 17,720.70
  4. Step 4: Simplify right side
    30,460.14x = 744,980,708.90
  5. Step 5: Solve for x
    x = 744,980,708.90/30,460.14
  6. Step 6: Final answer
    x = 24,457.56

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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.