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Finding the Fourth Proportional to 30,275.94, 45,419.34 and 12,506.60

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Solution

The fourth proportional to 30,275.94, 45,419.34 and 12,506.60 is: 18,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275.94 : 45,419.34 = 12,506.60 : x
  2. Step 2: Convert to fraction form
    30,275.94/45,419.34 = 12,506.60/x
  3. Step 3: Cross multiply
    30,275.94x = 45,419.34 × 12,506.60
  4. Step 4: Simplify right side
    30,275.94x = 568,041,517.64
  5. Step 5: Solve for x
    x = 568,041,517.64/30,275.94
  6. Step 6: Final answer
    x = 18,762.14

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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.