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Finding the Fourth Proportional to 30,751.50, 46,127.25 and 9,975

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Solution

The fourth proportional to 30,751.50, 46,127.25 and 9,975 is: 14,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.50 : 46,127.25 = 9,975 : x
  2. Step 2: Convert to fraction form
    30,751.50/46,127.25 = 9,975/x
  3. Step 3: Cross multiply
    30,751.50x = 46,127.25 × 9,975
  4. Step 4: Simplify right side
    30,751.50x = 460,119,318.75
  5. Step 5: Solve for x
    x = 460,119,318.75/30,751.50
  6. Step 6: Final answer
    x = 14,962.50

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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.