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Finding the Fourth Proportional to 30,598.02, 45,888.19 and 8,412.12

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Solution

The fourth proportional to 30,598.02, 45,888.19 and 8,412.12 is: 12,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.02 : 45,888.19 = 8,412.12 : x
  2. Step 2: Convert to fraction form
    30,598.02/45,888.19 = 8,412.12/x
  3. Step 3: Cross multiply
    30,598.02x = 45,888.19 × 8,412.12
  4. Step 4: Simplify right side
    30,598.02x = 386,016,960.86
  5. Step 5: Solve for x
    x = 386,016,960.86/30,598.02
  6. Step 6: Final answer
    x = 12,615.75

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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.