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Finding the Fourth Proportional to 30,753.12, 46,136.16 and 9,975

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Solution

The fourth proportional to 30,753.12, 46,136.16 and 9,975 is: 14,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,753.12 : 46,136.16 = 9,975 : x
  2. Step 2: Convert to fraction form
    30,753.12/46,136.16 = 9,975/x
  3. Step 3: Cross multiply
    30,753.12x = 46,136.16 × 9,975
  4. Step 4: Simplify right side
    30,753.12x = 460,208,196.00
  5. Step 5: Solve for x
    x = 460,208,196.00/30,753.12
  6. Step 6: Final answer
    x = 14,964.60

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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.