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Finding the Fourth Proportional to 30,999.64, 46,509.18 and 10,237.72

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Solution

The fourth proportional to 30,999.64, 46,509.18 and 10,237.72 is: 15,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.64 : 46,509.18 = 10,237.72 : x
  2. Step 2: Convert to fraction form
    30,999.64/46,509.18 = 10,237.72/x
  3. Step 3: Cross multiply
    30,999.64x = 46,509.18 × 10,237.72
  4. Step 4: Simplify right side
    30,999.64x = 476,147,962.27
  5. Step 5: Solve for x
    x = 476,147,962.27/30,999.64
  6. Step 6: Final answer
    x = 15,359.79

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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.