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Finding the Fourth Proportional to 30,720.96, 46,080 and 9,660.48

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Solution

The fourth proportional to 30,720.96, 46,080 and 9,660.48 is: 14,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.96 : 46,080 = 9,660.48 : x
  2. Step 2: Convert to fraction form
    30,720.96/46,080 = 9,660.48/x
  3. Step 3: Cross multiply
    30,720.96x = 46,080 × 9,660.48
  4. Step 4: Simplify right side
    30,720.96x = 445,154,918.40
  5. Step 5: Solve for x
    x = 445,154,918.40/30,720.96
  6. Step 6: Final answer
    x = 14,490.27

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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.