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Finding the Fourth Proportional to 30,186.96, 45,271.80 and 10,460.40

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Solution

The fourth proportional to 30,186.96, 45,271.80 and 10,460.40 is: 15,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186.96 : 45,271.80 = 10,460.40 : x
  2. Step 2: Convert to fraction form
    30,186.96/45,271.80 = 10,460.40/x
  3. Step 3: Cross multiply
    30,186.96x = 45,271.80 × 10,460.40
  4. Step 4: Simplify right side
    30,186.96x = 473,561,136.72
  5. Step 5: Solve for x
    x = 473,561,136.72/30,186.96
  6. Step 6: Final answer
    x = 15,687.61

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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.