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Finding the Fourth Proportional to 30,784.40, 46,176.52 and 7,410.80

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Solution

The fourth proportional to 30,784.40, 46,176.52 and 7,410.80 is: 11,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.40 : 46,176.52 = 7,410.80 : x
  2. Step 2: Convert to fraction form
    30,784.40/46,176.52 = 7,410.80/x
  3. Step 3: Cross multiply
    30,784.40x = 46,176.52 × 7,410.80
  4. Step 4: Simplify right side
    30,784.40x = 342,204,954.42
  5. Step 5: Solve for x
    x = 342,204,954.42/30,784.40
  6. Step 6: Final answer
    x = 11,116.18

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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.