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Finding the Fourth Proportional to 30,675.80, 46,007.40 and 8,483.60

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Solution

The fourth proportional to 30,675.80, 46,007.40 and 8,483.60 is: 12,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.80 : 46,007.40 = 8,483.60 : x
  2. Step 2: Convert to fraction form
    30,675.80/46,007.40 = 8,483.60/x
  3. Step 3: Cross multiply
    30,675.80x = 46,007.40 × 8,483.60
  4. Step 4: Simplify right side
    30,675.80x = 390,308,378.64
  5. Step 5: Solve for x
    x = 390,308,378.64/30,675.80
  6. Step 6: Final answer
    x = 12,723.66

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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.