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Finding the Fourth Proportional to 30,458.23, 42,028.88 and 17,709.64

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Solution

The fourth proportional to 30,458.23, 42,028.88 and 17,709.64 is: 24,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.23 : 42,028.88 = 17,709.64 : x
  2. Step 2: Convert to fraction form
    30,458.23/42,028.88 = 17,709.64/x
  3. Step 3: Cross multiply
    30,458.23x = 42,028.88 × 17,709.64
  4. Step 4: Simplify right side
    30,458.23x = 744,316,140.78
  5. Step 5: Solve for x
    x = 744,316,140.78/30,458.23
  6. Step 6: Final answer
    x = 24,437.28

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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.