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Finding the Fourth Proportional to 30,952.68, 46,432.32 and 9,885.36

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Solution

The fourth proportional to 30,952.68, 46,432.32 and 9,885.36 is: 14,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.68 : 46,432.32 = 9,885.36 : x
  2. Step 2: Convert to fraction form
    30,952.68/46,432.32 = 9,885.36/x
  3. Step 3: Cross multiply
    30,952.68x = 46,432.32 × 9,885.36
  4. Step 4: Simplify right side
    30,952.68x = 459,000,198.84
  5. Step 5: Solve for x
    x = 459,000,198.84/30,952.68
  6. Step 6: Final answer
    x = 14,829.09

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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.