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Finding the Fourth Proportional to 30,470.40, 45,705.60 and 8,287.20

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Solution

The fourth proportional to 30,470.40, 45,705.60 and 8,287.20 is: 12,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.40 : 45,705.60 = 8,287.20 : x
  2. Step 2: Convert to fraction form
    30,470.40/45,705.60 = 8,287.20/x
  3. Step 3: Cross multiply
    30,470.40x = 45,705.60 × 8,287.20
  4. Step 4: Simplify right side
    30,470.40x = 378,771,448.32
  5. Step 5: Solve for x
    x = 378,771,448.32/30,470.40
  6. Step 6: Final answer
    x = 12,430.80

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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.