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Finding the Fourth Proportional to 30,777.60, 46,166.40 and 11,056.80

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Solution

The fourth proportional to 30,777.60, 46,166.40 and 11,056.80 is: 16,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.60 : 46,166.40 = 11,056.80 : x
  2. Step 2: Convert to fraction form
    30,777.60/46,166.40 = 11,056.80/x
  3. Step 3: Cross multiply
    30,777.60x = 46,166.40 × 11,056.80
  4. Step 4: Simplify right side
    30,777.60x = 510,452,651.52
  5. Step 5: Solve for x
    x = 510,452,651.52/30,777.60
  6. Step 6: Final answer
    x = 16,585.20

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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.