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Finding the Fourth Proportional to 30,598.12, 45,888.81 and 8,406.22

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Solution

The fourth proportional to 30,598.12, 45,888.81 and 8,406.22 is: 12,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.12 : 45,888.81 = 8,406.22 : x
  2. Step 2: Convert to fraction form
    30,598.12/45,888.81 = 8,406.22/x
  3. Step 3: Cross multiply
    30,598.12x = 45,888.81 × 8,406.22
  4. Step 4: Simplify right side
    30,598.12x = 385,751,432.40
  5. Step 5: Solve for x
    x = 385,751,432.40/30,598.12
  6. Step 6: Final answer
    x = 12,607.03

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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.