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Finding the Fourth Proportional to 30,829.44, 46,248 and 11,102.88

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Solution

The fourth proportional to 30,829.44, 46,248 and 11,102.88 is: 16,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.44 : 46,248 = 11,102.88 : x
  2. Step 2: Convert to fraction form
    30,829.44/46,248 = 11,102.88/x
  3. Step 3: Cross multiply
    30,829.44x = 46,248 × 11,102.88
  4. Step 4: Simplify right side
    30,829.44x = 513,485,994.24
  5. Step 5: Solve for x
    x = 513,485,994.24/30,829.44
  6. Step 6: Final answer
    x = 16,655.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.