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Finding the Fourth Proportional to 30,751.12, 46,133.16 and 9,973

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Solution

The fourth proportional to 30,751.12, 46,133.16 and 9,973 is: 14,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.12 : 46,133.16 = 9,973 : x
  2. Step 2: Convert to fraction form
    30,751.12/46,133.16 = 9,973/x
  3. Step 3: Cross multiply
    30,751.12x = 46,133.16 × 9,973
  4. Step 4: Simplify right side
    30,751.12x = 460,086,004.68
  5. Step 5: Solve for x
    x = 460,086,004.68/30,751.12
  6. Step 6: Final answer
    x = 14,961.60

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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.