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Finding the Fourth Proportional to 30,548.64, 42,176.16 and 23,460.96

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Solution

The fourth proportional to 30,548.64, 42,176.16 and 23,460.96 is: 32,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.64 : 42,176.16 = 23,460.96 : x
  2. Step 2: Convert to fraction form
    30,548.64/42,176.16 = 23,460.96/x
  3. Step 3: Cross multiply
    30,548.64x = 42,176.16 × 23,460.96
  4. Step 4: Simplify right side
    30,548.64x = 989,493,202.71
  5. Step 5: Solve for x
    x = 989,493,202.71/30,548.64
  6. Step 6: Final answer
    x = 32,390.74

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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.