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Finding the Fourth Proportional to 30,401.68, 45,609.36 and 10,681.60

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Solution

The fourth proportional to 30,401.68, 45,609.36 and 10,681.60 is: 16,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401.68 : 45,609.36 = 10,681.60 : x
  2. Step 2: Convert to fraction form
    30,401.68/45,609.36 = 10,681.60/x
  3. Step 3: Cross multiply
    30,401.68x = 45,609.36 × 10,681.60
  4. Step 4: Simplify right side
    30,401.68x = 487,180,939.78
  5. Step 5: Solve for x
    x = 487,180,939.78/30,401.68
  6. Step 6: Final answer
    x = 16,024.80

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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.