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Finding the Fourth Proportional to 30,378.80, 45,568.20 and 9,602.30

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Solution

The fourth proportional to 30,378.80, 45,568.20 and 9,602.30 is: 14,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.80 : 45,568.20 = 9,602.30 : x
  2. Step 2: Convert to fraction form
    30,378.80/45,568.20 = 9,602.30/x
  3. Step 3: Cross multiply
    30,378.80x = 45,568.20 × 9,602.30
  4. Step 4: Simplify right side
    30,378.80x = 437,559,339.45
  5. Step 5: Solve for x
    x = 437,559,339.45/30,378.80
  6. Step 6: Final answer
    x = 14,403.45

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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.