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Finding the Fourth Proportional to 30,200.90, 45,322.95 and 12,683.30

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Solution

The fourth proportional to 30,200.90, 45,322.95 and 12,683.30 is: 19,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.90 : 45,322.95 = 12,683.30 : x
  2. Step 2: Convert to fraction form
    30,200.90/45,322.95 = 12,683.30/x
  3. Step 3: Cross multiply
    30,200.90x = 45,322.95 × 12,683.30
  4. Step 4: Simplify right side
    30,200.90x = 574,844,571.74
  5. Step 5: Solve for x
    x = 574,844,571.74/30,200.90
  6. Step 6: Final answer
    x = 19,034.02

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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.