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Finding the Fourth Proportional to 30,000.40, 45,000.60 and 7,813.60

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Solution

The fourth proportional to 30,000.40, 45,000.60 and 7,813.60 is: 11,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.40 : 45,000.60 = 7,813.60 : x
  2. Step 2: Convert to fraction form
    30,000.40/45,000.60 = 7,813.60/x
  3. Step 3: Cross multiply
    30,000.40x = 45,000.60 × 7,813.60
  4. Step 4: Simplify right side
    30,000.40x = 351,616,688.16
  5. Step 5: Solve for x
    x = 351,616,688.16/30,000.40
  6. Step 6: Final answer
    x = 11,720.40

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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.