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Finding the Fourth Proportional to 30,582.40, 45,873.60 and 8,399.20

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Solution

The fourth proportional to 30,582.40, 45,873.60 and 8,399.20 is: 12,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582.40 : 45,873.60 = 8,399.20 : x
  2. Step 2: Convert to fraction form
    30,582.40/45,873.60 = 8,399.20/x
  3. Step 3: Cross multiply
    30,582.40x = 45,873.60 × 8,399.20
  4. Step 4: Simplify right side
    30,582.40x = 385,301,541.12
  5. Step 5: Solve for x
    x = 385,301,541.12/30,582.40
  6. Step 6: Final answer
    x = 12,598.80

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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.